---
_id: '13274'
abstract:
- lang: eng
text: Viscous flows through pipes and channels are steady and ordered until, with
increasing velocity, the laminar motion catastrophically breaks down and gives
way to turbulence. How this apparently discontinuous change from low- to high-dimensional
motion can be rationalized within the framework of the Navier-Stokes equations
is not well understood. Exploiting geometrical properties of transitional channel
flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible
and identify the complete path that reversibly links fully turbulent motion to
an invariant solution. This precursor of turbulence destabilizes rapidly with
Re, and the accompanying explosive increase in attractor dimension effectively
marks the transition between deterministic and de facto stochastic dynamics.
acknowledgement: We thank Baofang Song as well as the developers of Channelflow for
sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful
discussions. This work was supported by a grant from the Simons Foundation (662960,
B. H.).
article_number: '034002'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chaitanya S
full_name: Paranjape, Chaitanya S
id: 3D85B7C4-F248-11E8-B48F-1D18A9856A87
last_name: Paranjape
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Yohann
full_name: Duguet, Yohann
last_name: Duguet
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence
to time-periodic solutions. Physical Review Letters. 2023;131(3). doi:10.1103/physrevlett.131.034002
apa: Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., & Hof, B. (2023).
Direct path from turbulence to time-periodic solutions. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/physrevlett.131.034002
chicago: Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur,
and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” Physical
Review Letters. American Physical Society, 2023. https://doi.org/10.1103/physrevlett.131.034002.
ieee: C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct
path from turbulence to time-periodic solutions,” Physical Review Letters,
vol. 131, no. 3. American Physical Society, 2023.
ista: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from
turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.
mla: Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic
Solutions.” Physical Review Letters, vol. 131, no. 3, 034002, American
Physical Society, 2023, doi:10.1103/physrevlett.131.034002.
short: C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review
Letters 131 (2023).
date_created: 2023-07-24T09:43:59Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2023-12-13T11:40:19Z
day: '21'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/physrevlett.131.034002
external_id:
arxiv:
- '2306.05098'
isi:
- '001052929900004'
intvolume: ' 131'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2306.05098
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: 'Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental
Studies on Transitional and Turbulent Flows'
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Direct path from turbulence to time-periodic solutions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 131
year: '2023'
...
---
_id: '12105'
abstract:
- lang: eng
text: Data-driven dimensionality reduction methods such as proper orthogonal decomposition
and dynamic mode decomposition have proven to be useful for exploring complex
phenomena within fluid dynamics and beyond. A well-known challenge for these techniques
is posed by the continuous symmetries, e.g. translations and rotations, of the
system under consideration, as drifts in the data dominate the modal expansions
without providing an insight into the dynamics of the problem. In the present
study, we address this issue for fluid flows in rectangular channels by formulating
a continuous symmetry reduction method that eliminates the translations in the
streamwise and spanwise directions simultaneously. We demonstrate our method by
computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows
of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille
flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity
of the invariant solutions with translation symmetries, i.e. travelling waves
and relative periodic orbits, whereas in the latter, our calculations reveal episodes
of turbulent time evolution that can be approximated by a low-dimensional linear
expansion.
acknowledgement: "E.M. acknowledges funding from the ISTplus fellowship programme.
G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH)."
article_number: A10
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Elena
full_name: Marensi, Elena
id: 0BE7553A-1004-11EA-B805-18983DDC885E
last_name: Marensi
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition
of near-wall turbulence. Journal of Fluid Mechanics. 2023;954. doi:10.1017/jfm.2022.1001
apa: Marensi, E., Yalniz, G., Hof, B., & Budanur, N. B. (2023). Symmetry-reduced
dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics.
Cambridge University Press. https://doi.org/10.1017/jfm.2022.1001
chicago: Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced
Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics.
Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2022.1001.
ieee: E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic
mode decomposition of near-wall turbulence,” Journal of Fluid Mechanics,
vol. 954. Cambridge University Press, 2023.
ista: Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode
decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10.
mla: Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall
Turbulence.” Journal of Fluid Mechanics, vol. 954, A10, Cambridge University
Press, 2023, doi:10.1017/jfm.2022.1001.
short: E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954
(2023).
date_created: 2023-01-08T23:00:53Z
date_published: 2023-01-10T00:00:00Z
date_updated: 2023-08-01T12:53:23Z
day: '10'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.1001
external_id:
arxiv:
- '2101.07516'
isi:
- '000903336600001'
file:
- access_level: open_access
checksum: 9224f987caefe5dd85a70814d3cce65c
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T12:34:54Z
date_updated: 2023-02-02T12:34:54Z
file_id: '12489'
file_name: 2023_JourFluidMechanics_Marensi.pdf
file_size: 1931647
relation: main_file
success: 1
file_date_updated: 2023-02-02T12:34:54Z
has_accepted_license: '1'
intvolume: ' 954'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: 'Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental
Studies on Transitional and Turbulent Flows'
publication: Journal of Fluid Mechanics
publication_identifier:
eissn:
- 1469-7645
issn:
- 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symmetry-reduced dynamic mode decomposition of near-wall turbulence
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 954
year: '2023'
...
---
_id: '11704'
abstract:
- lang: eng
text: In Fall 2020, several European countries reported rapid increases in COVID-19
cases along with growing estimates of the effective reproduction rates. Such an
acceleration in epidemic spread is usually attributed to time-dependent effects,
e.g. human travel, seasonal behavioral changes, mutations of the pathogen etc.
In this case however the acceleration occurred when counter measures such as testing
and contact tracing exceeded their capacity limit. Considering Austria as an example,
here we show that this dynamics can be captured by a time-independent, i.e. autonomous,
compartmental model that incorporates these capacity limits. In this model, the
epidemic acceleration coincides with the exhaustion of mitigation efforts, resulting
in an increasing fraction of undetected cases that drive the effective reproduction
rate progressively higher. We demonstrate that standard models which does not
include this effect necessarily result in a systematic underestimation of the
effective reproduction rate.
article_number: e0269975
article_processing_charge: No
article_type: original
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Hof B. An autonomous compartmental model for accelerating epidemics.
PLoS ONE. 2022;17(7). doi:10.1371/journal.pone.0269975
apa: Budanur, N. B., & Hof, B. (2022). An autonomous compartmental model for
accelerating epidemics. PLoS ONE. Public Library of Science. https://doi.org/10.1371/journal.pone.0269975
chicago: Budanur, Nazmi B, and Björn Hof. “An Autonomous Compartmental Model for
Accelerating Epidemics.” PLoS ONE. Public Library of Science, 2022. https://doi.org/10.1371/journal.pone.0269975.
ieee: N. B. Budanur and B. Hof, “An autonomous compartmental model for accelerating
epidemics,” PLoS ONE, vol. 17, no. 7. Public Library of Science, 2022.
ista: Budanur NB, Hof B. 2022. An autonomous compartmental model for accelerating
epidemics. PLoS ONE. 17(7), e0269975.
mla: Budanur, Nazmi B., and Björn Hof. “An Autonomous Compartmental Model for Accelerating
Epidemics.” PLoS ONE, vol. 17, no. 7, e0269975, Public Library of Science,
2022, doi:10.1371/journal.pone.0269975.
short: N.B. Budanur, B. Hof, PLoS ONE 17 (2022).
date_created: 2022-07-31T22:01:48Z
date_published: 2022-07-18T00:00:00Z
date_updated: 2023-08-03T12:24:22Z
day: '18'
ddc:
- '510'
department:
- _id: BjHo
doi: 10.1371/journal.pone.0269975
external_id:
isi:
- '000911392100055'
file:
- access_level: open_access
checksum: 1ddd9b91e6dec31ab0e7a8433ca2d452
content_type: application/pdf
creator: dernst
date_created: 2022-08-01T08:02:38Z
date_updated: 2022-08-01T08:02:38Z
file_id: '11712'
file_name: 2022_PLoSONE_Budanur.pdf
file_size: 1421256
relation: main_file
success: 1
file_date_updated: 2022-08-01T08:02:38Z
has_accepted_license: '1'
intvolume: ' 17'
isi: 1
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: PLoS ONE
publication_identifier:
eissn:
- 1932-6203
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
record:
- id: '11711'
relation: research_data
status: public
scopus_import: '1'
status: public
title: An autonomous compartmental model for accelerating epidemics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 17
year: '2022'
...
---
_id: '11711'
abstract:
- lang: eng
text: Codes and data for reproducing the results of N. B. Budanur and B. Hof "An
autonomous compartmental model for accelerating epidemics"
article_processing_charge: No
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Budanur NB. burakbudanur/autoacc-public. 2022. doi:10.5281/ZENODO.6802720
apa: Budanur, N. B. (2022). burakbudanur/autoacc-public. Zenodo. https://doi.org/10.5281/ZENODO.6802720
chicago: Budanur, Nazmi B. “Burakbudanur/Autoacc-Public.” Zenodo, 2022. https://doi.org/10.5281/ZENODO.6802720.
ieee: N. B. Budanur, “burakbudanur/autoacc-public.” Zenodo, 2022.
ista: Budanur NB. 2022. burakbudanur/autoacc-public, Zenodo, 10.5281/ZENODO.6802720.
mla: Budanur, Nazmi B. Burakbudanur/Autoacc-Public. Zenodo, 2022, doi:10.5281/ZENODO.6802720.
short: N.B. Budanur, (2022).
date_created: 2022-08-01T08:06:33Z
date_published: 2022-07-06T00:00:00Z
date_updated: 2023-08-03T12:24:21Z
day: '06'
ddc:
- '000'
department:
- _id: BjHo
doi: 10.5281/ZENODO.6802720
has_accepted_license: '1'
license: https://creativecommons.org/publicdomain/zero/1.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/ZENODO.6802720
month: '07'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
record:
- id: '11704'
relation: used_in_publication
status: public
status: public
title: burakbudanur/autoacc-public
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
name: Creative Commons Public Domain Dedication (CC0 1.0)
short: CC0 (1.0)
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2022'
...
---
_id: '12134'
abstract:
- lang: eng
text: Standard epidemic models exhibit one continuous, second order phase transition
to macroscopic outbreaks. However, interventions to control outbreaks may fundamentally
alter epidemic dynamics. Here we reveal how such interventions modify the type
of phase transition. In particular, we uncover three distinct types of explosive
phase transitions for epidemic dynamics with capacity-limited interventions. Depending
on the capacity limit, interventions may (i) leave the standard second order phase
transition unchanged but exponentially suppress the probability of large outbreaks,
(ii) induce a first-order discontinuous transition to macroscopic outbreaks, or
(iii) cause a secondary explosive yet continuous third-order transition. These
insights highlight inherent limitations in predicting and containing epidemic
outbreaks. More generally our study offers a cornerstone example of a third-order
explosive phase transition in complex systems.
acknowledgement: We acknowledge support from the Volkswagen Foundation under Grant
No. 99720 and the German Federal Ministry for Education and Research (BMBF) under
Grant No. 16ICR01. This research was supported by the Deutsche Forschungsgemeinschaft
(DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2068—390729961—Cluster
of Excellence Physics of Life of TU Dresden.
article_number: 04LT02
article_processing_charge: No
article_type: original
author:
- first_name: Georg
full_name: Börner, Georg
last_name: Börner
- first_name: Malte
full_name: Schröder, Malte
last_name: Schröder
- first_name: Davide
full_name: Scarselli, Davide
id: 40315C30-F248-11E8-B48F-1D18A9856A87
last_name: Scarselli
orcid: 0000-0001-5227-4271
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Marc
full_name: Timme, Marc
last_name: Timme
citation:
ama: 'Börner G, Schröder M, Scarselli D, Budanur NB, Hof B, Timme M. Explosive transitions
in epidemic dynamics. Journal of Physics: Complexity. 2022;3(4). doi:10.1088/2632-072x/ac99cd'
apa: 'Börner, G., Schröder, M., Scarselli, D., Budanur, N. B., Hof, B., & Timme,
M. (2022). Explosive transitions in epidemic dynamics. Journal of Physics:
Complexity. IOP Publishing. https://doi.org/10.1088/2632-072x/ac99cd'
chicago: 'Börner, Georg, Malte Schröder, Davide Scarselli, Nazmi B Budanur, Björn
Hof, and Marc Timme. “Explosive Transitions in Epidemic Dynamics.” Journal
of Physics: Complexity. IOP Publishing, 2022. https://doi.org/10.1088/2632-072x/ac99cd.'
ieee: 'G. Börner, M. Schröder, D. Scarselli, N. B. Budanur, B. Hof, and M. Timme,
“Explosive transitions in epidemic dynamics,” Journal of Physics: Complexity,
vol. 3, no. 4. IOP Publishing, 2022.'
ista: 'Börner G, Schröder M, Scarselli D, Budanur NB, Hof B, Timme M. 2022. Explosive
transitions in epidemic dynamics. Journal of Physics: Complexity. 3(4), 04LT02.'
mla: 'Börner, Georg, et al. “Explosive Transitions in Epidemic Dynamics.” Journal
of Physics: Complexity, vol. 3, no. 4, 04LT02, IOP Publishing, 2022, doi:10.1088/2632-072x/ac99cd.'
short: 'G. Börner, M. Schröder, D. Scarselli, N.B. Budanur, B. Hof, M. Timme, Journal
of Physics: Complexity 3 (2022).'
date_created: 2023-01-12T12:03:43Z
date_published: 2022-10-25T00:00:00Z
date_updated: 2023-02-13T09:15:13Z
day: '25'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1088/2632-072x/ac99cd
file:
- access_level: open_access
checksum: 35c5c5cb0eb17ea1b5184755daab9fc9
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T07:24:37Z
date_updated: 2023-01-24T07:24:37Z
file_id: '12350'
file_name: 2022_JourPhysics_Boerner.pdf
file_size: 1006106
relation: main_file
success: 1
file_date_updated: 2023-01-24T07:24:37Z
has_accepted_license: '1'
intvolume: ' 3'
issue: '4'
keyword:
- Artificial Intelligence
- Computer Networks and Communications
- Computer Science Applications
- Information Systems
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: 'Journal of Physics: Complexity'
publication_identifier:
issn:
- 2632-072X
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Explosive transitions in epidemic dynamics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2022'
...
---
_id: '12259'
abstract:
- lang: eng
text: 'Theoretical foundations of chaos have been predominantly laid out for finite-dimensional
dynamical systems, such as the three-body problem in classical mechanics and the
Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena,
e.g., weather, arise in systems with many (formally infinite) degrees of freedom,
which limits direct quantitative analysis of such systems using chaos theory.
In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer
a bridge between low- and high-dimensional chaotic phenomena by allowing for a
systematic study of how the former connects to the latter. Specifically, we present
experimental results, which show the formation of low-dimensional chaotic attractors
upon destabilization of regular dynamics and a final transition to high-dimensional
chaos via the merging of distinct chaotic regions through a crisis bifurcation.
Moreover, we show that the post-crisis dynamics of the system can be rationalized
as consecutive scatterings from the nonattracting chaotic sets with lifetimes
following exponential distributions. '
acknowledgement: 'This work was partially funded by the Institute of Science and Technology
Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos
and Quantum Analogies.”'
article_number: '093138'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: George H
full_name: Choueiri, George H
id: 448BD5BC-F248-11E8-B48F-1D18A9856A87
last_name: Choueiri
- first_name: Balachandra
full_name: Suri, Balachandra
id: 47A5E706-F248-11E8-B48F-1D18A9856A87
last_name: Suri
- first_name: Jack
full_name: Merrin, Jack
id: 4515C308-F248-11E8-B48F-1D18A9856A87
last_name: Merrin
orcid: 0000-0001-5145-4609
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic
scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 2022;32(9). doi:10.1063/5.0102904'
apa: 'Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., & Budanur,
N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments.
Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing.
https://doi.org/10.1063/5.0102904'
chicago: 'Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn
Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave
Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science.
AIP Publishing, 2022. https://doi.org/10.1063/5.0102904.'
ieee: 'G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur,
“Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” Chaos:
An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 9. AIP Publishing,
2022.'
ista: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises
and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 32(9), 093138.'
mla: 'Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic
Pilot-Wave Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:10.1063/5.0102904.'
short: 'G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos:
An Interdisciplinary Journal of Nonlinear Science 32 (2022).'
date_created: 2023-01-16T09:58:16Z
date_published: 2022-09-26T00:00:00Z
date_updated: 2023-08-04T09:51:17Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
- _id: BjHo
- _id: NanoFab
doi: 10.1063/5.0102904
external_id:
arxiv:
- '2206.01531'
isi:
- '000861009600005'
file:
- access_level: open_access
checksum: 17881eff8b21969359a2dd64620120ba
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T09:41:12Z
date_updated: 2023-01-30T09:41:12Z
file_id: '12445'
file_name: 2022_Chaos_Choueiri.pdf
file_size: 3209644
relation: main_file
success: 1
file_date_updated: 2023-01-30T09:41:12Z
has_accepted_license: '1'
intvolume: ' 32'
isi: 1
issue: '9'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Crises and chaotic scattering in hydrodynamic pilot-wave experiments
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 32
year: '2022'
...
---
_id: '9407'
abstract:
- lang: eng
text: 'High impact epidemics constitute one of the largest threats humanity is facing
in the 21st century. In the absence of pharmaceutical interventions, physical
distancing together with testing, contact tracing and quarantining are crucial
in slowing down epidemic dynamics. Yet, here we show that if testing capacities
are limited, containment may fail dramatically because such combined countermeasures
drastically change the rules of the epidemic transition: Instead of continuous,
the response to countermeasures becomes discontinuous. Rather than following the
conventional exponential growth, the outbreak that is initially strongly suppressed
eventually accelerates and scales faster than exponential during an explosive
growth period. As a consequence, containment measures either suffice to stop the
outbreak at low total case numbers or fail catastrophically if marginally too
weak, thus implying large uncertainties in reliably estimating overall epidemic
dynamics, both during initial phases and during second wave scenarios.'
acknowledgement: The authors thank Malte Schröder for valuable discussions and creating
the scale-free network topologies. B.H. thanks Mukund Vasudevan for helpful discussion.
The research by M.T. was supported by the Deutsche Forschungsgemeinschaft (DFG,
German Research Foundation) under Germany´s Excellence Strategy–EXC-2068–390729961–Cluster
of Excellence Physics of Life of TU Dresden.
article_number: '2586'
article_processing_charge: No
article_type: original
author:
- first_name: Davide
full_name: Scarselli, Davide
id: 40315C30-F248-11E8-B48F-1D18A9856A87
last_name: Scarselli
orcid: 0000-0001-5227-4271
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Marc
full_name: Timme, Marc
last_name: Timme
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Scarselli D, Budanur NB, Timme M, Hof B. Discontinuous epidemic transition
due to limited testing. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-22725-9
apa: Scarselli, D., Budanur, N. B., Timme, M., & Hof, B. (2021). Discontinuous
epidemic transition due to limited testing. Nature Communications. Springer
Nature. https://doi.org/10.1038/s41467-021-22725-9
chicago: Scarselli, Davide, Nazmi B Budanur, Marc Timme, and Björn Hof. “Discontinuous
Epidemic Transition Due to Limited Testing.” Nature Communications. Springer
Nature, 2021. https://doi.org/10.1038/s41467-021-22725-9.
ieee: D. Scarselli, N. B. Budanur, M. Timme, and B. Hof, “Discontinuous epidemic
transition due to limited testing,” Nature Communications, vol. 12, no.
1. Springer Nature, 2021.
ista: Scarselli D, Budanur NB, Timme M, Hof B. 2021. Discontinuous epidemic transition
due to limited testing. Nature Communications. 12(1), 2586.
mla: Scarselli, Davide, et al. “Discontinuous Epidemic Transition Due to Limited
Testing.” Nature Communications, vol. 12, no. 1, 2586, Springer Nature,
2021, doi:10.1038/s41467-021-22725-9.
short: D. Scarselli, N.B. Budanur, M. Timme, B. Hof, Nature Communications 12 (2021).
date_created: 2021-05-23T22:01:42Z
date_published: 2021-05-10T00:00:00Z
date_updated: 2023-08-08T13:45:13Z
day: '10'
ddc:
- '570'
department:
- _id: BjHo
doi: 10.1038/s41467-021-22725-9
external_id:
isi:
- '000687305500044'
file:
- access_level: open_access
checksum: fe26c1b8a7da1ae07a6c03f80ff06ea1
content_type: application/pdf
creator: kschuh
date_created: 2021-05-25T14:18:40Z
date_updated: 2021-05-25T14:18:40Z
file_id: '9426'
file_name: 2021_NatureCommunications_Scarselli.pdf
file_size: 1176573
relation: main_file
success: 1
file_date_updated: 2021-05-25T14:18:40Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
issue: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Nature Communications
publication_identifier:
eissn:
- '20411723'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/smashing-the-covid-curve/
scopus_import: '1'
status: public
title: Discontinuous epidemic transition due to limited testing
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2021'
...
---
_id: '9558'
abstract:
- lang: eng
text: "We show that turbulent dynamics that arise in simulations of the three-dimensional
Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing
can be described as transient visits to the neighborhoods of unstable time-periodic
solutions. Based on this description, we reduce the original system with more
than 10^5 degrees of freedom to a 17-node Markov chain where each node corresponds
to the neighborhood of a periodic orbit. The model accurately reproduces long-term
averages of the system's observables as weighted sums over the periodic orbits.\r\n"
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "We thank the referees for improving this Letter with their comments.
We acknowledge stimulating discussions with\r\nH. Edelsbrunner. This work was supported
by Grant No. 662960 from the Simons Foundation (B. H.). The numerical calculations
were performed at TUBITAK ULAKBIM High Performance and Grid Computing Center (TRUBA
resources) and IST Austria High Performance Computing cluster."
article_number: '244502'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Yalniz G, Hof B, Budanur NB. Coarse graining the state space of a turbulent
flow using periodic orbits. Physical Review Letters. 2021;126(24). doi:10.1103/PhysRevLett.126.244502
apa: Yalniz, G., Hof, B., & Budanur, N. B. (2021). Coarse graining the state
space of a turbulent flow using periodic orbits. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.126.244502
chicago: Yalniz, Gökhan, Björn Hof, and Nazmi B Budanur. “Coarse Graining the State
Space of a Turbulent Flow Using Periodic Orbits.” Physical Review Letters.
American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.244502.
ieee: G. Yalniz, B. Hof, and N. B. Budanur, “Coarse graining the state space of
a turbulent flow using periodic orbits,” Physical Review Letters, vol.
126, no. 24. American Physical Society, 2021.
ista: Yalniz G, Hof B, Budanur NB. 2021. Coarse graining the state space of a turbulent
flow using periodic orbits. Physical Review Letters. 126(24), 244502.
mla: Yalniz, Gökhan, et al. “Coarse Graining the State Space of a Turbulent Flow
Using Periodic Orbits.” Physical Review Letters, vol. 126, no. 24, 244502,
American Physical Society, 2021, doi:10.1103/PhysRevLett.126.244502.
short: G. Yalniz, B. Hof, N.B. Budanur, Physical Review Letters 126 (2021).
date_created: 2021-06-16T15:45:36Z
date_published: 2021-06-18T00:00:00Z
date_updated: 2023-08-08T14:08:36Z
day: '18'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/PhysRevLett.126.244502
external_id:
arxiv:
- '2007.02584'
isi:
- '000663310100008'
intvolume: ' 126'
isi: 1
issue: '24'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2007.02584
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: 'Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental
Studies on Transitional and Turbulent Flows'
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/turbulent-flow-simplified/
status: public
title: Coarse graining the state space of a turbulent flow using periodic orbits
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 126
year: '2021'
...
---
_id: '7534'
abstract:
- lang: eng
text: 'In the past two decades, our understanding of the transition to turbulence
in shear flows with linearly stable laminar solutions has greatly improved. Regarding
the susceptibility of the laminar flow, two concepts have been particularly useful:
the edge states and the minimal seeds. In this nonlinear picture of the transition,
the basin boundary of turbulence is set by the edge state''s stable manifold and
this manifold comes closest in energy to the laminar equilibrium at the minimal
seed. We begin this paper by presenting numerical experiments in which three-dimensional
perturbations are too energetic to trigger turbulence in pipe flow but they do
lead to turbulence when their amplitude is reduced. We show that this seemingly
counterintuitive observation is in fact consistent with the fully nonlinear description
of the transition mediated by the edge state. In order to understand the physical
mechanisms behind this process, we measure the turbulent kinetic energy production
and dissipation rates as a function of the radial coordinate. Our main observation
is that the transition to turbulence relies on the energy amplification away from
the wall, as opposed to the turbulence itself, whose energy is predominantly produced
near the wall. This observation is further supported by the similar analyses on
the minimal seeds and the edge states. Furthermore, we show that the time evolution
of production-over-dissipation curves provides a clear distinction between the
different initial amplification stages of the transition to turbulence from the
minimal seed.'
article_number: '023903'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Elena
full_name: Marensi, Elena
last_name: Marensi
- first_name: Ashley P.
full_name: Willis, Ashley P.
last_name: Willis
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Marensi E, Willis AP, Hof B. Upper edge of chaos and the energetics
of transition in pipe flow. Physical Review Fluids. 2020;5(2). doi:10.1103/physrevfluids.5.023903
apa: Budanur, N. B., Marensi, E., Willis, A. P., & Hof, B. (2020). Upper edge
of chaos and the energetics of transition in pipe flow. Physical Review Fluids.
American Physical Society. https://doi.org/10.1103/physrevfluids.5.023903
chicago: Budanur, Nazmi B, Elena Marensi, Ashley P. Willis, and Björn Hof. “Upper
Edge of Chaos and the Energetics of Transition in Pipe Flow.” Physical Review
Fluids. American Physical Society, 2020. https://doi.org/10.1103/physrevfluids.5.023903.
ieee: N. B. Budanur, E. Marensi, A. P. Willis, and B. Hof, “Upper edge of chaos
and the energetics of transition in pipe flow,” Physical Review Fluids,
vol. 5, no. 2. American Physical Society, 2020.
ista: Budanur NB, Marensi E, Willis AP, Hof B. 2020. Upper edge of chaos and the
energetics of transition in pipe flow. Physical Review Fluids. 5(2), 023903.
mla: Budanur, Nazmi B., et al. “Upper Edge of Chaos and the Energetics of Transition
in Pipe Flow.” Physical Review Fluids, vol. 5, no. 2, 023903, American
Physical Society, 2020, doi:10.1103/physrevfluids.5.023903.
short: N.B. Budanur, E. Marensi, A.P. Willis, B. Hof, Physical Review Fluids 5 (2020).
date_created: 2020-02-27T10:26:57Z
date_published: 2020-02-21T00:00:00Z
date_updated: 2023-08-18T06:44:46Z
day: '21'
department:
- _id: BjHo
doi: 10.1103/physrevfluids.5.023903
external_id:
arxiv:
- '1912.09270'
isi:
- '000515065100001'
intvolume: ' 5'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1912.09270
month: '02'
oa: 1
oa_version: Preprint
publication: Physical Review Fluids
publication_identifier:
issn:
- 2469-990X
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Upper edge of chaos and the energetics of transition in pipe flow
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 5
year: '2020'
...
---
_id: '7563'
abstract:
- lang: eng
text: "We introduce “state space persistence analysis” for deducing the symbolic
dynamics of time series data obtained from high-dimensional chaotic attractors.
To this end, we adapt a topological data analysis technique known as persistent
homology for the characterization of state space projections of chaotic trajectories
and periodic orbits. By comparing the shapes along a chaotic trajectory to those
of the periodic orbits, state space persistence analysis quantifies the shape
similarity of chaotic trajectory segments and periodic orbits. We demonstrate
the method by applying it to the three-dimensional Rössler system and a 30-dimensional
discretization of the Kuramoto–Sivashinsky partial differential equation in (1+1)
dimensions.\r\nOne way of studying chaotic attractors systematically is through
their symbolic dynamics, in which one partitions the state space into qualitatively
different regions and assigns a symbol to each such region.1–3 This yields a “coarse-grained”
state space of the system, which can then be reduced to a Markov chain encoding
all possible transitions between the states of the system. While it is possible
to obtain the symbolic dynamics of low-dimensional chaotic systems with standard
tools such as Poincaré maps, when applied to high-dimensional systems such as
turbulent flows, these tools alone are not sufficient to determine symbolic dynamics.4,5
In this paper, we develop “state space persistence analysis” and demonstrate that
it can be utilized to infer the symbolic dynamics in very high-dimensional settings."
article_number: '033109'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Yalniz G, Budanur NB. Inferring symbolic dynamics of chaotic flows from persistence.
Chaos. 2020;30(3). doi:10.1063/1.5122969
apa: Yalniz, G., & Budanur, N. B. (2020). Inferring symbolic dynamics of chaotic
flows from persistence. Chaos. AIP Publishing. https://doi.org/10.1063/1.5122969
chicago: Yalniz, Gökhan, and Nazmi B Budanur. “Inferring Symbolic Dynamics of Chaotic
Flows from Persistence.” Chaos. AIP Publishing, 2020. https://doi.org/10.1063/1.5122969.
ieee: G. Yalniz and N. B. Budanur, “Inferring symbolic dynamics of chaotic flows
from persistence,” Chaos, vol. 30, no. 3. AIP Publishing, 2020.
ista: Yalniz G, Budanur NB. 2020. Inferring symbolic dynamics of chaotic flows from
persistence. Chaos. 30(3), 033109.
mla: Yalniz, Gökhan, and Nazmi B. Budanur. “Inferring Symbolic Dynamics of Chaotic
Flows from Persistence.” Chaos, vol. 30, no. 3, 033109, AIP Publishing,
2020, doi:10.1063/1.5122969.
short: G. Yalniz, N.B. Budanur, Chaos 30 (2020).
date_created: 2020-03-04T08:06:25Z
date_published: 2020-03-03T00:00:00Z
date_updated: 2023-08-18T06:47:16Z
day: '03'
department:
- _id: BjHo
doi: 10.1063/1.5122969
external_id:
arxiv:
- '1910.04584'
isi:
- '000519254800002'
intvolume: ' 30'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1063/1.5122969
month: '03'
oa: 1
oa_version: Published Version
publication: Chaos
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Inferring symbolic dynamics of chaotic flows from persistence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 30
year: '2020'
...
---
_id: '6978'
abstract:
- lang: eng
text: In pipes and channels, the onset of turbulence is initially dominated by localizedtransients, which lead to sustained turbulence through their collective dynamics. In thepresent
work, we study numerically the localized turbulence in pipe flow and elucidate
astate space structure that gives rise to transient chaos. Starting from the basin
boundaryseparating laminar and turbulent flow, we identify transverse homoclinic orbits, thepresence
of which necessitates a homoclinic tangle and chaos. A direct consequence ofthe
homoclinic tangle is the fractal nature of the laminar-turbulent boundary, which
wasconjectured in various earlier studies. By mapping the transverse intersections
between thestable and unstable manifold of a periodic orbit, we identify the gateways
that promote anescape from turbulence.
acknowledged_ssus:
- _id: ScienComp
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Akshunna
full_name: Dogra, Akshunna
last_name: Dogra
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Dogra A, Hof B. Geometry of transient chaos in streamwise-localized
pipe flow turbulence. Physical Review Fluids. 2019;4(10):102401. doi:10.1103/PhysRevFluids.4.102401
apa: Budanur, N. B., Dogra, A., & Hof, B. (2019). Geometry of transient chaos
in streamwise-localized pipe flow turbulence. Physical Review Fluids. American
Physical Society. https://doi.org/10.1103/PhysRevFluids.4.102401
chicago: Budanur, Nazmi B, Akshunna Dogra, and Björn Hof. “Geometry of Transient
Chaos in Streamwise-Localized Pipe Flow Turbulence.” Physical Review Fluids.
American Physical Society, 2019. https://doi.org/10.1103/PhysRevFluids.4.102401.
ieee: N. B. Budanur, A. Dogra, and B. Hof, “Geometry of transient chaos in streamwise-localized
pipe flow turbulence,” Physical Review Fluids, vol. 4, no. 10. American
Physical Society, p. 102401, 2019.
ista: Budanur NB, Dogra A, Hof B. 2019. Geometry of transient chaos in streamwise-localized
pipe flow turbulence. Physical Review Fluids. 4(10), 102401.
mla: Budanur, Nazmi B., et al. “Geometry of Transient Chaos in Streamwise-Localized
Pipe Flow Turbulence.” Physical Review Fluids, vol. 4, no. 10, American
Physical Society, 2019, p. 102401, doi:10.1103/PhysRevFluids.4.102401.
short: N.B. Budanur, A. Dogra, B. Hof, Physical Review Fluids 4 (2019) 102401.
date_created: 2019-11-04T10:04:01Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2023-08-30T07:20:03Z
day: '01'
department:
- _id: BjHo
doi: 10.1103/PhysRevFluids.4.102401
external_id:
arxiv:
- '1810.02211'
isi:
- '000493510400001'
intvolume: ' 4'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1810.02211
month: '10'
oa: 1
oa_version: Preprint
page: '102401'
publication: Physical Review Fluids
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometry of transient chaos in streamwise-localized pipe flow turbulence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 4
year: '2019'
...
---
_id: '7197'
abstract:
- lang: eng
text: During bacterial cell division, the tubulin-homolog FtsZ forms a ring-like
structure at the center of the cell. This Z-ring not only organizes the division
machinery, but treadmilling of FtsZ filaments was also found to play a key role
in distributing proteins at the division site. What regulates the architecture,
dynamics and stability of the Z-ring is currently unknown, but FtsZ-associated
proteins are known to play an important role. Here, using an in vitro reconstitution
approach, we studied how the well-conserved protein ZapA affects FtsZ treadmilling
and filament organization into large-scale patterns. Using high-resolution fluorescence
microscopy and quantitative image analysis, we found that ZapA cooperatively increases
the spatial order of the filament network, but binds only transiently to FtsZ
filaments and has no effect on filament length and treadmilling velocity. Together,
our data provides a model for how FtsZ-associated proteins can increase the precision
and stability of the bacterial cell division machinery in a switch-like manner.
acknowledged_ssus:
- _id: LifeSc
- _id: Bio
article_number: '5744'
article_processing_charge: No
article_type: original
author:
- first_name: Paulo R
full_name: Dos Santos Caldas, Paulo R
id: 38FCDB4C-F248-11E8-B48F-1D18A9856A87
last_name: Dos Santos Caldas
orcid: 0000-0001-6730-4461
- first_name: Maria D
full_name: Lopez Pelegrin, Maria D
id: 319AA9CE-F248-11E8-B48F-1D18A9856A87
last_name: Lopez Pelegrin
- first_name: Daniel J. G.
full_name: Pearce, Daniel J. G.
last_name: Pearce
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Jan
full_name: Brugués, Jan
last_name: Brugués
- first_name: Martin
full_name: Loose, Martin
id: 462D4284-F248-11E8-B48F-1D18A9856A87
last_name: Loose
orcid: 0000-0001-7309-9724
citation:
ama: Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J,
Loose M. Cooperative ordering of treadmilling filaments in cytoskeletal networks
of FtsZ and its crosslinker ZapA. Nature Communications. 2019;10. doi:10.1038/s41467-019-13702-4
apa: Dos Santos Caldas, P. R., Lopez Pelegrin, M. D., Pearce, D. J. G., Budanur,
N. B., Brugués, J., & Loose, M. (2019). Cooperative ordering of treadmilling
filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. Nature
Communications. Springer Nature. https://doi.org/10.1038/s41467-019-13702-4
chicago: Dos Santos Caldas, Paulo R, Maria D Lopez Pelegrin, Daniel J. G. Pearce,
Nazmi B Budanur, Jan Brugués, and Martin Loose. “Cooperative Ordering of Treadmilling
Filaments in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” Nature
Communications. Springer Nature, 2019. https://doi.org/10.1038/s41467-019-13702-4.
ieee: P. R. Dos Santos Caldas, M. D. Lopez Pelegrin, D. J. G. Pearce, N. B. Budanur,
J. Brugués, and M. Loose, “Cooperative ordering of treadmilling filaments in cytoskeletal
networks of FtsZ and its crosslinker ZapA,” Nature Communications, vol.
10. Springer Nature, 2019.
ista: Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J,
Loose M. 2019. Cooperative ordering of treadmilling filaments in cytoskeletal
networks of FtsZ and its crosslinker ZapA. Nature Communications. 10, 5744.
mla: Dos Santos Caldas, Paulo R., et al. “Cooperative Ordering of Treadmilling Filaments
in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” Nature Communications,
vol. 10, 5744, Springer Nature, 2019, doi:10.1038/s41467-019-13702-4.
short: P.R. Dos Santos Caldas, M.D. Lopez Pelegrin, D.J.G. Pearce, N.B. Budanur,
J. Brugués, M. Loose, Nature Communications 10 (2019).
date_created: 2019-12-20T12:22:57Z
date_published: 2019-12-17T00:00:00Z
date_updated: 2023-09-07T13:18:51Z
day: '17'
ddc:
- '570'
department:
- _id: MaLo
- _id: BjHo
doi: 10.1038/s41467-019-13702-4
ec_funded: 1
external_id:
isi:
- '000503009300001'
file:
- access_level: open_access
checksum: a1b44b427ba341383197790d0e8789fa
content_type: application/pdf
creator: dernst
date_created: 2019-12-23T07:34:56Z
date_updated: 2020-07-14T12:47:53Z
file_id: '7208'
file_name: 2019_NatureComm_Caldas.pdf
file_size: 8488733
relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 2595697A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '679239'
name: Self-Organization of the Bacterial Cell
- _id: 260D98C8-B435-11E9-9278-68D0E5697425
name: Reconstitution of Bacterial Cell Division Using Purified Components
publication: Nature Communications
publication_identifier:
issn:
- 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8358'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Cooperative ordering of treadmilling filaments in cytoskeletal networks of
FtsZ and its crosslinker ZapA
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 10
year: '2019'
...
---
_id: '5878'
abstract:
- lang: eng
text: We consider the motion of a droplet bouncing on a vibrating bath of the same
fluid in the presence of a central potential. We formulate a rotation symmetry-reduced
description of this system, which allows for the straightforward application of
dynamical systems theory tools. As an illustration of the utility of the symmetry
reduction, we apply it to a model of the pilot-wave system with a central harmonic
force. We begin our analysis by identifying local bifurcations and the onset of
chaos. We then describe the emergence of chaotic regions and their merging bifurcations,
which lead to the formation of a global attractor. In this final regime, the droplet’s
angular momentum spontaneously changes its sign as observed in the experiments
of Perrard et al.
article_number: '013122'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Marc
full_name: Fleury, Marc
last_name: Fleury
citation:
ama: 'Budanur NB, Fleury M. State space geometry of the chaotic pilot-wave hydrodynamics.
Chaos: An Interdisciplinary Journal of Nonlinear Science. 2019;29(1). doi:10.1063/1.5058279'
apa: 'Budanur, N. B., & Fleury, M. (2019). State space geometry of the chaotic
pilot-wave hydrodynamics. Chaos: An Interdisciplinary Journal of Nonlinear
Science. AIP Publishing. https://doi.org/10.1063/1.5058279'
chicago: 'Budanur, Nazmi B, and Marc Fleury. “State Space Geometry of the Chaotic
Pilot-Wave Hydrodynamics.” Chaos: An Interdisciplinary Journal of Nonlinear
Science. AIP Publishing, 2019. https://doi.org/10.1063/1.5058279.'
ieee: 'N. B. Budanur and M. Fleury, “State space geometry of the chaotic pilot-wave
hydrodynamics,” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 29, no. 1. AIP Publishing, 2019.'
ista: 'Budanur NB, Fleury M. 2019. State space geometry of the chaotic pilot-wave
hydrodynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science. 29(1),
013122.'
mla: 'Budanur, Nazmi B., and Marc Fleury. “State Space Geometry of the Chaotic Pilot-Wave
Hydrodynamics.” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 29, no. 1, 013122, AIP Publishing, 2019, doi:10.1063/1.5058279.'
short: 'N.B. Budanur, M. Fleury, Chaos: An Interdisciplinary Journal of Nonlinear
Science 29 (2019).'
date_created: 2019-01-23T08:35:09Z
date_published: 2019-01-22T00:00:00Z
date_updated: 2023-08-25T10:16:11Z
day: '22'
department:
- _id: BjHo
doi: 10.1063/1.5058279
external_id:
arxiv:
- '1812.09011'
isi:
- '000457409100028'
intvolume: ' 29'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1812.09011
month: '01'
oa: 1
oa_version: Preprint
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://aip.scitation.org/doi/abs/10.1063/1.5097157
scopus_import: '1'
status: public
title: State space geometry of the chaotic pilot-wave hydrodynamics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 29
year: '2019'
...
---
_id: '291'
abstract:
- lang: eng
text: Over the past decade, the edge of chaos has proven to be a fruitful starting
point for investigations of shear flows when the laminar base flow is linearly
stable. Numerous computational studies of shear flows demonstrated the existence
of states that separate laminar and turbulent regions of the state space. In addition,
some studies determined invariant solutions that reside on this edge. In this
paper, we study the unstable manifold of one such solution with the aid of continuous
symmetry reduction, which we formulate here for the simultaneous quotiening of
axial and azimuthal symmetries. Upon our investigation of the unstable manifold,
we discover a previously unknown traveling-wave solution on the laminar-turbulent
boundary with a relatively complex structure. By means of low-dimensional projections,
we visualize different dynamical paths that connect these solutions to the turbulence.
Our numerical experiments demonstrate that the laminar-turbulent boundary exhibits
qualitatively different regions whose properties are influenced by the nearby
invariant solutions.
article_number: '054401'
article_processing_charge: No
arxiv: 1
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Hof B. Complexity of the laminar-turbulent boundary in pipe flow.
Physical Review Fluids. 2018;3(5). doi:10.1103/PhysRevFluids.3.054401
apa: Budanur, N. B., & Hof, B. (2018). Complexity of the laminar-turbulent boundary
in pipe flow. Physical Review Fluids. American Physical Society. https://doi.org/10.1103/PhysRevFluids.3.054401
chicago: Budanur, Nazmi B, and Björn Hof. “Complexity of the Laminar-Turbulent Boundary
in Pipe Flow.” Physical Review Fluids. American Physical Society, 2018.
https://doi.org/10.1103/PhysRevFluids.3.054401.
ieee: N. B. Budanur and B. Hof, “Complexity of the laminar-turbulent boundary in
pipe flow,” Physical Review Fluids, vol. 3, no. 5. American Physical Society,
2018.
ista: Budanur NB, Hof B. 2018. Complexity of the laminar-turbulent boundary in pipe
flow. Physical Review Fluids. 3(5), 054401.
mla: Budanur, Nazmi B., and Björn Hof. “Complexity of the Laminar-Turbulent Boundary
in Pipe Flow.” Physical Review Fluids, vol. 3, no. 5, 054401, American
Physical Society, 2018, doi:10.1103/PhysRevFluids.3.054401.
short: N.B. Budanur, B. Hof, Physical Review Fluids 3 (2018).
date_created: 2018-12-11T11:45:39Z
date_published: 2018-05-30T00:00:00Z
date_updated: 2023-09-11T12:45:44Z
day: '30'
department:
- _id: BjHo
doi: 10.1103/PhysRevFluids.3.054401
external_id:
arxiv:
- '1802.01918'
isi:
- '000433426200001'
intvolume: ' 3'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1802.01918
month: '05'
oa: 1
oa_version: Preprint
publication: Physical Review Fluids
publication_status: published
publisher: American Physical Society
publist_id: '7590'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Complexity of the laminar-turbulent boundary in pipe flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 3
year: '2018'
...
---
_id: '461'
abstract:
- lang: eng
text: Turbulence is the major cause of friction losses in transport processes and
it is responsible for a drastic drag increase in flows over bounding surfaces.
While much effort is invested into developing ways to control and reduce turbulence
intensities, so far no methods exist to altogether eliminate turbulence if velocities
are sufficiently large. We demonstrate for pipe flow that appropriate distortions
to the velocity profile lead to a complete collapse of turbulence and subsequently
friction losses are reduced by as much as 90%. Counterintuitively, the return
to laminar motion is accomplished by initially increasing turbulence intensities
or by transiently amplifying wall shear. Since neither the Reynolds number nor
the shear stresses decrease (the latter often increase), these measures are not
indicative of turbulence collapse. Instead, an amplification mechanism measuring
the interaction between eddies and the mean shear is found to set a threshold
below which turbulence is suppressed beyond recovery.
acknowledgement: We acknowledge the European Research Council under the European Union’s
Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement 306589, the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
programme (grant agreement no. 737549) and the Deutsche Forschungsgemeinschaft (Project
No. FOR 1182) for financial support. We thank our technician P. Maier for providing
highly valuable ideas and greatly supporting us in all technical aspects. We thank
M. Schaner for technical drawings, construction and design. We thank M. Schwegel
for a Matlab code to post-process experimental data.
article_processing_charge: No
author:
- first_name: Jakob
full_name: Kühnen, Jakob
id: 3A47AE32-F248-11E8-B48F-1D18A9856A87
last_name: Kühnen
orcid: 0000-0003-4312-0179
- first_name: Baofang
full_name: Song, Baofang
last_name: Song
- first_name: Davide
full_name: Scarselli, Davide
id: 40315C30-F248-11E8-B48F-1D18A9856A87
last_name: Scarselli
orcid: 0000-0001-5227-4271
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Michael
full_name: Riedl, Michael
id: 3BE60946-F248-11E8-B48F-1D18A9856A87
last_name: Riedl
orcid: 0000-0003-4844-6311
- first_name: Ashley
full_name: Willis, Ashley
last_name: Willis
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Kühnen J, Song B, Scarselli D, et al. Destabilizing turbulence in pipe flow.
Nature Physics. 2018;14:386-390. doi:10.1038/s41567-017-0018-3
apa: Kühnen, J., Song, B., Scarselli, D., Budanur, N. B., Riedl, M., Willis, A.,
… Hof, B. (2018). Destabilizing turbulence in pipe flow. Nature Physics.
Nature Publishing Group. https://doi.org/10.1038/s41567-017-0018-3
chicago: Kühnen, Jakob, Baofang Song, Davide Scarselli, Nazmi B Budanur, Michael
Riedl, Ashley Willis, Marc Avila, and Björn Hof. “Destabilizing Turbulence in
Pipe Flow.” Nature Physics. Nature Publishing Group, 2018. https://doi.org/10.1038/s41567-017-0018-3.
ieee: J. Kühnen et al., “Destabilizing turbulence in pipe flow,” Nature
Physics, vol. 14. Nature Publishing Group, pp. 386–390, 2018.
ista: Kühnen J, Song B, Scarselli D, Budanur NB, Riedl M, Willis A, Avila M, Hof
B. 2018. Destabilizing turbulence in pipe flow. Nature Physics. 14, 386–390.
mla: Kühnen, Jakob, et al. “Destabilizing Turbulence in Pipe Flow.” Nature Physics,
vol. 14, Nature Publishing Group, 2018, pp. 386–90, doi:10.1038/s41567-017-0018-3.
short: J. Kühnen, B. Song, D. Scarselli, N.B. Budanur, M. Riedl, A. Willis, M. Avila,
B. Hof, Nature Physics 14 (2018) 386–390.
date_created: 2018-12-11T11:46:36Z
date_published: 2018-01-08T00:00:00Z
date_updated: 2024-03-25T23:30:20Z
day: '08'
department:
- _id: BjHo
doi: 10.1038/s41567-017-0018-3
ec_funded: 1
external_id:
isi:
- '000429434100020'
intvolume: ' 14'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1711.06543
month: '01'
oa: 1
oa_version: Preprint
page: 386-390
project:
- _id: 25152F3A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '306589'
name: Decoding the complexity of turbulence at its origin
- _id: 25104D44-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '737549'
name: Eliminating turbulence in oil pipelines
publication: Nature Physics
publication_status: published
publisher: Nature Publishing Group
publist_id: '7360'
quality_controlled: '1'
related_material:
record:
- id: '12726'
relation: dissertation_contains
status: public
- id: '14530'
relation: dissertation_contains
status: public
- id: '7258'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Destabilizing turbulence in pipe flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 14
year: '2018'
...
---
_id: '792'
abstract:
- lang: eng
text: The chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler
flows, is guided by the infinity of periodic orbits embedded in their strange
attractors. Whether this is also the case for the infinite-dimensional dynamics
of Navier–Stokes equations has long been speculated, and is a topic of ongoing
study. Periodic and relative periodic solutions have been shown to be involved
in transitions to turbulence. Their relevance to turbulent dynamics – specifically,
whether periodic orbits play the same role in high-dimensional nonlinear systems
like the Navier–Stokes equations as they do in lower-dimensional systems – is
the focus of the present investigation. We perform here a detailed study of pipe
flow relative periodic orbits with energies and mean dissipations close to turbulent
values. We outline several approaches to reduction of the translational symmetry
of the system. We study pipe flow in a minimal computational cell at Re=2500,
and report a library of invariant solutions found with the aid of the method of
slices. Detailed study of the unstable manifolds of a sample of these solutions
is consistent with the picture that relative periodic orbits are embedded in the
chaotic saddle and that they guide the turbulent dynamics.
article_processing_charge: No
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Kimberly
full_name: Short, Kimberly
last_name: Short
- first_name: Mohammad
full_name: Farazmand, Mohammad
last_name: Farazmand
- first_name: Ashley
full_name: Willis, Ashley
last_name: Willis
- first_name: Predrag
full_name: Cvitanović, Predrag
last_name: Cvitanović
citation:
ama: Budanur NB, Short K, Farazmand M, Willis A, Cvitanović P. Relative periodic
orbits form the backbone of turbulent pipe flow. Journal of Fluid Mechanics.
2017;833:274-301. doi:10.1017/jfm.2017.699
apa: Budanur, N. B., Short, K., Farazmand, M., Willis, A., & Cvitanović, P.
(2017). Relative periodic orbits form the backbone of turbulent pipe flow. Journal
of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2017.699
chicago: Budanur, Nazmi B, Kimberly Short, Mohammad Farazmand, Ashley Willis, and
Predrag Cvitanović. “Relative Periodic Orbits Form the Backbone of Turbulent Pipe
Flow.” Journal of Fluid Mechanics. Cambridge University Press, 2017. https://doi.org/10.1017/jfm.2017.699.
ieee: N. B. Budanur, K. Short, M. Farazmand, A. Willis, and P. Cvitanović, “Relative
periodic orbits form the backbone of turbulent pipe flow,” Journal of Fluid
Mechanics, vol. 833. Cambridge University Press, pp. 274–301, 2017.
ista: Budanur NB, Short K, Farazmand M, Willis A, Cvitanović P. 2017. Relative periodic
orbits form the backbone of turbulent pipe flow. Journal of Fluid Mechanics. 833,
274–301.
mla: Budanur, Nazmi B., et al. “Relative Periodic Orbits Form the Backbone of Turbulent
Pipe Flow.” Journal of Fluid Mechanics, vol. 833, Cambridge University
Press, 2017, pp. 274–301, doi:10.1017/jfm.2017.699.
short: N.B. Budanur, K. Short, M. Farazmand, A. Willis, P. Cvitanović, Journal of
Fluid Mechanics 833 (2017) 274–301.
date_created: 2018-12-11T11:48:32Z
date_published: 2017-12-25T00:00:00Z
date_updated: 2023-09-27T12:17:35Z
day: '25'
department:
- _id: BjHo
doi: 10.1017/jfm.2017.699
external_id:
isi:
- '000414641700001'
intvolume: ' 833'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1705.03720
month: '12'
oa: 1
oa_version: Submitted Version
page: 274 - 301
project:
- _id: 25636330-B435-11E9-9278-68D0E5697425
grant_number: 11-NSF-1070
name: ROOTS Genome-wide Analysis of Root Traits
publication: Journal of Fluid Mechanics
publication_identifier:
issn:
- '00221120'
publication_status: published
publisher: Cambridge University Press
publist_id: '6862'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Relative periodic orbits form the backbone of turbulent pipe flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 833
year: '2017'
...
---
_id: '824'
abstract:
- lang: eng
text: 'In shear flows at transitional Reynolds numbers, localized patches of turbulence,
known as puffs, coexist with the laminar flow. Recently, Avila et al. (Phys. Rev.
Lett., vol. 110, 2013, 224502) discovered two spatially localized relative periodic
solutions for pipe flow, which appeared in a saddle-node bifurcation at low Reynolds
number. Combining slicing methods for continuous symmetry reduction with Poincaré
sections for the first time in a shear flow setting, we compute and visualize
the unstable manifold of the lower-branch solution and show that it extends towards
the neighbourhood of the upper-branch solution. Surprisingly, this connection
even persists far above the bifurcation point and appears to mediate the first
stage of the puff generation: amplification of streamwise localized fluctuations.
When the state-space trajectories on the unstable manifold reach the vicinity
of the upper branch, corresponding fluctuations expand in space and eventually
take the usual shape of a puff.'
article_number: R1
article_processing_charge: No
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Hof B. Heteroclinic path to spatially localized chaos in pipe flow.
Journal of Fluid Mechanics. 2017;827. doi:10.1017/jfm.2017.516
apa: Budanur, N. B., & Hof, B. (2017). Heteroclinic path to spatially localized
chaos in pipe flow. Journal of Fluid Mechanics. Cambridge University Press.
https://doi.org/10.1017/jfm.2017.516
chicago: Budanur, Nazmi B, and Björn Hof. “Heteroclinic Path to Spatially Localized
Chaos in Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press,
2017. https://doi.org/10.1017/jfm.2017.516.
ieee: N. B. Budanur and B. Hof, “Heteroclinic path to spatially localized chaos
in pipe flow,” Journal of Fluid Mechanics, vol. 827. Cambridge University
Press, 2017.
ista: Budanur NB, Hof B. 2017. Heteroclinic path to spatially localized chaos in
pipe flow. Journal of Fluid Mechanics. 827, R1.
mla: Budanur, Nazmi B., and Björn Hof. “Heteroclinic Path to Spatially Localized
Chaos in Pipe Flow.” Journal of Fluid Mechanics, vol. 827, R1, Cambridge
University Press, 2017, doi:10.1017/jfm.2017.516.
short: N.B. Budanur, B. Hof, Journal of Fluid Mechanics 827 (2017).
date_created: 2018-12-11T11:48:42Z
date_published: 2017-08-18T00:00:00Z
date_updated: 2023-09-26T16:17:43Z
day: '18'
department:
- _id: BjHo
doi: 10.1017/jfm.2017.516
external_id:
isi:
- '000408326300001'
intvolume: ' 827'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.10484
month: '08'
oa: 1
oa_version: Submitted Version
publication: Journal of Fluid Mechanics
publication_identifier:
issn:
- '00221120'
publication_status: published
publisher: Cambridge University Press
publist_id: '6824'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Heteroclinic path to spatially localized chaos in pipe flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 827
year: '2017'
...
---
_id: '1211'
abstract:
- lang: eng
text: Systems such as fluid flows in channels and pipes or the complex Ginzburg–Landau
system, defined over periodic domains, exhibit both continuous symmetries, translational
and rotational, as well as discrete symmetries under spatial reflections or complex
conjugation. The simplest, and very common symmetry of this type is the equivariance
of the defining equations under the orthogonal group O(2). We formulate a novel
symmetry reduction scheme for such systems by combining the method of slices with
invariant polynomial methods, and show how it works by applying it to the Kuramoto–Sivashinsky
system in one spatial dimension. As an example, we track a relative periodic orbit
through a sequence of bifurcations to the onset of chaos. Within the symmetry-reduced
state space we are able to compute and visualize the unstable manifolds of relative
periodic orbits, their torus bifurcations, a transition to chaos via torus breakdown,
and heteroclinic connections between various relative periodic orbits. It would
be very hard to carry through such analysis in the full state space, without a
symmetry reduction such as the one we present here.
acknowledgement: 'This work was supported by the family of late G. Robinson, Jr. and
NSF Grant DMS-1211827. '
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Predrag
full_name: Cvitanović, Predrag
last_name: Cvitanović
citation:
ama: Budanur NB, Cvitanović P. Unstable manifolds of relative periodic orbits in
the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal
of Statistical Physics. 2017;167(3-4):636-655. doi:10.1007/s10955-016-1672-z
apa: Budanur, N. B., & Cvitanović, P. (2017). Unstable manifolds of relative
periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky
system. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-016-1672-z
chicago: Budanur, Nazmi B, and Predrag Cvitanović. “Unstable Manifolds of Relative
Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
System.” Journal of Statistical Physics. Springer, 2017. https://doi.org/10.1007/s10955-016-1672-z.
ieee: N. B. Budanur and P. Cvitanović, “Unstable manifolds of relative periodic
orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system,”
Journal of Statistical Physics, vol. 167, no. 3–4. Springer, pp. 636–655,
2017.
ista: Budanur NB, Cvitanović P. 2017. Unstable manifolds of relative periodic orbits
in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal
of Statistical Physics. 167(3–4), 636–655.
mla: Budanur, Nazmi B., and Predrag Cvitanović. “Unstable Manifolds of Relative
Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
System.” Journal of Statistical Physics, vol. 167, no. 3–4, Springer, 2017,
pp. 636–55, doi:10.1007/s10955-016-1672-z.
short: N.B. Budanur, P. Cvitanović, Journal of Statistical Physics 167 (2017) 636–655.
date_created: 2018-12-11T11:50:44Z
date_published: 2017-05-01T00:00:00Z
date_updated: 2021-01-12T06:49:07Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1007/s10955-016-1672-z
file:
- access_level: open_access
checksum: 3e971d09eb167761aa0888ed415b0056
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:01Z
date_updated: 2020-07-14T12:44:39Z
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file_name: IST-2017-782-v1+1_BudCvi15.pdf
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file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: ' 167'
issue: 3-4
language:
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month: '05'
oa: 1
oa_version: Submitted Version
page: 636-655
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '6136'
pubrep_id: '782'
quality_controlled: '1'
scopus_import: 1
status: public
title: Unstable manifolds of relative periodic orbits in the symmetry reduced state
space of the Kuramoto–Sivashinsky system
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 167
year: '2017'
...