[{"_id":"12259","article_number":"093138","year":"2022","issue":"9","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. "}],"arxiv":1,"date_updated":"2023-08-04T09:51:17Z","month":"09","oa":1,"publication_identifier":{"eissn":["1089-7682"],"issn":["1054-1500"]},"status":"public","date_published":"2022-09-26T00:00:00Z","oa_version":"Published Version","doi":"10.1063/5.0102904","publication_status":"published","intvolume":"        32","citation":{"mla":"Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>.","apa":"Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., &#38; Budanur, N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>","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.","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.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>.","short":"G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2022).","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,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9. AIP Publishing, 2022.","ama":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(9). doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>"},"ddc":["530"],"file_date_updated":"2023-01-30T09:41:12Z","scopus_import":"1","file":[{"relation":"main_file","content_type":"application/pdf","file_size":3209644,"success":1,"file_name":"2022_Chaos_Choueiri.pdf","date_updated":"2023-01-30T09:41:12Z","date_created":"2023-01-30T09:41:12Z","file_id":"12445","checksum":"17881eff8b21969359a2dd64620120ba","creator":"dernst","access_level":"open_access"}],"author":[{"full_name":"Choueiri, George H","last_name":"Choueiri","id":"448BD5BC-F248-11E8-B48F-1D18A9856A87","first_name":"George H"},{"first_name":"Balachandra","id":"47A5E706-F248-11E8-B48F-1D18A9856A87","last_name":"Suri","full_name":"Suri, Balachandra"},{"orcid":"0000-0001-5145-4609","first_name":"Jack","last_name":"Merrin","id":"4515C308-F248-11E8-B48F-1D18A9856A87","full_name":"Merrin, Jack"},{"full_name":"Serbyn, Maksym","first_name":"Maksym","orcid":"0000-0002-2399-5827","last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","first_name":"Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof"},{"full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"}],"isi":1,"day":"26","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"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.”","title":"Crises and chaotic scattering in hydrodynamic pilot-wave experiments","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"AIP Publishing","department":[{"_id":"MaSe"},{"_id":"BjHo"},{"_id":"NanoFab"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","date_created":"2023-01-16T09:58:16Z","has_accepted_license":"1","quality_controlled":"1","keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"volume":32,"external_id":{"arxiv":["2206.01531"],"isi":["000861009600005"]},"article_type":"original","article_processing_charge":"No"},{"publisher":"American Physical Society","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Capturing turbulent dynamics and statistics in experiments with unstable periodic orbits","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"author":[{"full_name":"Suri, Balachandra","last_name":"Suri","id":"47A5E706-F248-11E8-B48F-1D18A9856A87","first_name":"Balachandra"},{"last_name":"Kageorge","first_name":"Logan","full_name":"Kageorge, Logan"},{"first_name":"Roman O.","last_name":"Grigoriev","full_name":"Grigoriev, Roman O."},{"first_name":"Michael F.","last_name":"Schatz","full_name":"Schatz, Michael F."}],"isi":1,"acknowledgement":"M. F. S. and R. O. G. acknowledge funding from the National Science Foundation (CMMI-1234436, DMS1125302, CMMI-1725587) and Defense Advanced Research Projects Agency (HR0011-16-2-0033). B. S.has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7/2007–2013/ under REA Grant Agreement No. 291734.","day":"05","external_id":{"isi":["000555785600005"],"arxiv":["2008.02367"]},"quality_controlled":"1","volume":125,"keyword":["General Physics and Astronomy"],"article_type":"original","article_processing_charge":"No","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"BjHo"}],"date_created":"2020-10-08T17:27:32Z","publication":"Physical Review Letters","month":"08","ec_funded":1,"status":"public","oa":1,"publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"article_number":"064501","_id":"8634","date_updated":"2023-09-05T12:08:29Z","issue":"6","arxiv":1,"abstract":[{"text":"In laboratory studies and numerical simulations, we observe clear signatures of unstable time-periodic solutions in a moderately turbulent quasi-two-dimensional flow. We validate the dynamical relevance of such solutions by demonstrating that turbulent flows in both experiment and numerics transiently display time-periodic dynamics when they shadow unstable periodic orbits (UPOs). We show that UPOs we computed are also statistically significant, with turbulent flows spending a sizable fraction of the total time near these solutions. As a result, the average rates of energy input and dissipation for the turbulent flow and frequently visited UPOs differ only by a few percent.","lang":"eng"}],"year":"2020","intvolume":"       125","citation":{"ista":"Suri B, Kageorge L, Grigoriev RO, Schatz MF. 2020. Capturing turbulent dynamics and statistics in experiments with unstable periodic orbits. Physical Review Letters. 125(6), 064501.","apa":"Suri, B., Kageorge, L., Grigoriev, R. O., &#38; Schatz, M. F. (2020). Capturing turbulent dynamics and statistics in experiments with unstable periodic orbits. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.125.064501\">https://doi.org/10.1103/physrevlett.125.064501</a>","mla":"Suri, Balachandra, et al. “Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.” <i>Physical Review Letters</i>, vol. 125, no. 6, 064501, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physrevlett.125.064501\">10.1103/physrevlett.125.064501</a>.","chicago":"Suri, Balachandra, Logan Kageorge, Roman O. Grigoriev, and Michael F. Schatz. “Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.” <i>Physical Review Letters</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physrevlett.125.064501\">https://doi.org/10.1103/physrevlett.125.064501</a>.","ama":"Suri B, Kageorge L, Grigoriev RO, Schatz MF. Capturing turbulent dynamics and statistics in experiments with unstable periodic orbits. <i>Physical Review Letters</i>. 2020;125(6). doi:<a href=\"https://doi.org/10.1103/physrevlett.125.064501\">10.1103/physrevlett.125.064501</a>","ieee":"B. Suri, L. Kageorge, R. O. Grigoriev, and M. F. Schatz, “Capturing turbulent dynamics and statistics in experiments with unstable periodic orbits,” <i>Physical Review Letters</i>, vol. 125, no. 6. American Physical Society, 2020.","short":"B. Suri, L. Kageorge, R.O. Grigoriev, M.F. Schatz, Physical Review Letters 125 (2020)."},"main_file_link":[{"url":"https://arxiv.org/abs/2008.02367","open_access":"1"}],"oa_version":"Preprint","date_published":"2020-08-05T00:00:00Z","publication_status":"published","doi":"10.1103/physrevlett.125.064501"},{"status":"public","oa":1,"publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"month":"07","ec_funded":1,"abstract":[{"text":"Recent studies suggest that unstable recurrent solutions of the Navier-Stokes equation provide new insights\r\ninto dynamics of turbulent flows. In this study, we compute an extensive network of dynamical connections\r\nbetween such solutions in a weakly turbulent quasi-two-dimensional Kolmogorov flow that lies in the inversion symmetric subspace. In particular, we find numerous isolated heteroclinic connections between different\r\ntypes of solutions—equilibria, periodic, and quasiperiodic orbits—as well as continua of connections forming\r\nhigher-dimensional connecting manifolds. We also compute a homoclinic connection of a periodic orbit and\r\nprovide strong evidence that the associated homoclinic tangle forms the chaotic repeller that underpins transient\r\nturbulence in the symmetric subspace.","lang":"eng"}],"arxiv":1,"issue":"1","date_updated":"2024-02-28T13:13:00Z","year":"2019","article_number":"013112","_id":"6779","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1907.05860"}],"scopus_import":"1","ddc":["532"],"intvolume":"       100","citation":{"chicago":"Suri, Balachandra, Ravi Kumar Pallantla, Michael F. Schatz, and Roman O. Grigoriev. “Heteroclinic and Homoclinic Connections in a Kolmogorov-like Flow.” <i>Physical Review E</i>. American Physical Society, 2019. <a href=\"https://doi.org/10.1103/physreve.100.013112\">https://doi.org/10.1103/physreve.100.013112</a>.","ista":"Suri B, Pallantla RK, Schatz MF, Grigoriev RO. 2019. Heteroclinic and homoclinic connections in a Kolmogorov-like flow. Physical Review E. 100(1), 013112.","apa":"Suri, B., Pallantla, R. K., Schatz, M. F., &#38; Grigoriev, R. O. (2019). Heteroclinic and homoclinic connections in a Kolmogorov-like flow. <i>Physical Review E</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physreve.100.013112\">https://doi.org/10.1103/physreve.100.013112</a>","mla":"Suri, Balachandra, et al. “Heteroclinic and Homoclinic Connections in a Kolmogorov-like Flow.” <i>Physical Review E</i>, vol. 100, no. 1, 013112, American Physical Society, 2019, doi:<a href=\"https://doi.org/10.1103/physreve.100.013112\">10.1103/physreve.100.013112</a>.","ama":"Suri B, Pallantla RK, Schatz MF, Grigoriev RO. Heteroclinic and homoclinic connections in a Kolmogorov-like flow. <i>Physical Review E</i>. 2019;100(1). doi:<a href=\"https://doi.org/10.1103/physreve.100.013112\">10.1103/physreve.100.013112</a>","ieee":"B. Suri, R. K. Pallantla, M. F. Schatz, and R. O. Grigoriev, “Heteroclinic and homoclinic connections in a Kolmogorov-like flow,” <i>Physical Review E</i>, vol. 100, no. 1. American Physical Society, 2019.","short":"B. Suri, R.K. Pallantla, M.F. Schatz, R.O. Grigoriev, Physical Review E 100 (2019)."},"doi":"10.1103/physreve.100.013112","publication_status":"published","oa_version":"Preprint","date_published":"2019-07-25T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"American Physical Society","title":"Heteroclinic and homoclinic connections in a Kolmogorov-like flow","day":"25","isi":1,"author":[{"id":"47A5E706-F248-11E8-B48F-1D18A9856A87","last_name":"Suri","first_name":"Balachandra","full_name":"Suri, Balachandra"},{"full_name":"Pallantla, Ravi Kumar","first_name":"Ravi Kumar","last_name":"Pallantla"},{"full_name":"Schatz, Michael F.","first_name":"Michael F.","last_name":"Schatz"},{"full_name":"Grigoriev, Roman O.","last_name":"Grigoriev","first_name":"Roman O."}],"project":[{"name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734"}],"article_type":"original","article_processing_charge":"No","quality_controlled":"1","volume":100,"external_id":{"arxiv":["1907.05860"],"isi":["000477911800012"]},"publication":"Physical Review E","date_created":"2019-08-09T09:40:41Z","type":"journal_article","department":[{"_id":"BjHo"}],"language":[{"iso":"eng"}]},{"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1808.02088"}],"citation":{"ama":"Suri B, Tithof J, Grigoriev R, Schatz M. Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow. <i>Physical Review E</i>. 2018;98(2). doi:<a href=\"https://doi.org/10.1103/PhysRevE.98.023105\">10.1103/PhysRevE.98.023105</a>","ieee":"B. Suri, J. Tithof, R. Grigoriev, and M. Schatz, “Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow,” <i>Physical Review E</i>, vol. 98, no. 2. American Physical Society, 2018.","short":"B. Suri, J. Tithof, R. Grigoriev, M. Schatz, Physical Review E 98 (2018).","mla":"Suri, Balachandra, et al. “Unstable Equilibria and Invariant Manifolds in Quasi-Two-Dimensional Kolmogorov-like Flow.” <i>Physical Review E</i>, vol. 98, no. 2, American Physical Society, 2018, doi:<a href=\"https://doi.org/10.1103/PhysRevE.98.023105\">10.1103/PhysRevE.98.023105</a>.","apa":"Suri, B., Tithof, J., Grigoriev, R., &#38; Schatz, M. (2018). Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow. <i>Physical Review E</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevE.98.023105\">https://doi.org/10.1103/PhysRevE.98.023105</a>","ista":"Suri B, Tithof J, Grigoriev R, Schatz M. 2018. Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow. Physical Review E. 98(2).","chicago":"Suri, Balachandra, Jeffrey Tithof, Roman Grigoriev, and Michael Schatz. “Unstable Equilibria and Invariant Manifolds in Quasi-Two-Dimensional Kolmogorov-like Flow.” <i>Physical Review E</i>. American Physical Society, 2018. <a href=\"https://doi.org/10.1103/PhysRevE.98.023105\">https://doi.org/10.1103/PhysRevE.98.023105</a>."},"intvolume":"        98","doi":"10.1103/PhysRevE.98.023105","publication_status":"published","oa_version":"Submitted Version","date_published":"2018-08-13T00:00:00Z","status":"public","oa":1,"month":"08","arxiv":1,"issue":"2","abstract":[{"lang":"eng","text":"Recent studies suggest that unstable, nonchaotic solutions of the Navier-Stokes equation may provide deep insights into fluid turbulence. In this article, we present a combined experimental and numerical study exploring the dynamical role of unstable equilibrium solutions and their invariant manifolds in a weakly turbulent, electromagnetically driven, shallow fluid layer. Identifying instants when turbulent evolution slows down, we compute 31 unstable equilibria of a realistic two-dimensional model of the flow. We establish the dynamical relevance of these unstable equilibria by showing that they are closely visited by the turbulent flow. We also establish the dynamical relevance of unstable manifolds by verifying that they are shadowed by turbulent trajectories departing from the neighborhoods of unstable equilibria over large distances in state space."}],"date_updated":"2023-10-10T13:29:10Z","year":"2018","_id":"136","article_processing_charge":"No","quality_controlled":"1","volume":98,"external_id":{"isi":["000441466800010"],"arxiv":["1808.02088"]},"publication":"Physical Review E","date_created":"2018-12-11T11:44:49Z","type":"journal_article","department":[{"_id":"BjHo"}],"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"American Physical Society","title":"Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow","day":"13","isi":1,"author":[{"full_name":"Suri, Balachandra","first_name":"Balachandra","last_name":"Suri","id":"47A5E706-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jeffrey","last_name":"Tithof","full_name":"Tithof, Jeffrey"},{"first_name":"Roman","last_name":"Grigoriev","full_name":"Grigoriev, Roman"},{"full_name":"Schatz, Michael","first_name":"Michael","last_name":"Schatz"}]}]