---
_id: '8105'
abstract:
- lang: eng
  text: Physical and biological systems often exhibit intermittent dynamics with bursts
    or avalanches (active states) characterized by power-law size and duration distributions.
    These emergent features are typical of systems at the critical point of continuous
    phase transitions, and have led to the hypothesis that such systems may self-organize
    at criticality, i.e. without any fine tuning of parameters. Since the introduction
    of the Bak-Tang-Wiesenfeld (BTW) model, the paradigm of self-organized criticality
    (SOC) has been very fruitful for the analysis of emergent collective behaviors
    in a number of systems, including the brain. Although considerable effort has
    been devoted in identifying and modeling scaling features of burst and avalanche
    statistics, dynamical aspects related to the temporal organization of bursts remain
    often poorly understood or controversial. Of crucial importance to understand
    the mechanisms responsible for emergent behaviors is the relationship between
    active and quiet periods, and the nature of the correlations. Here we investigate
    the dynamics of active (θ-bursts) and quiet states (δ-bursts) in brain activity
    during the sleep-wake cycle. We show the duality of power-law (θ, active phase)
    and exponential-like (δ, quiescent phase) duration distributions, typical of SOC,
    jointly emerge with power-law temporal correlations and anti-correlated coupling
    between active and quiet states. Importantly, we demonstrate that such temporal
    organization shares important similarities with earthquake dynamics, and propose
    that specific power-law correlations and coupling between active and quiet states
    are distinctive characteristics of a class of systems with self-organization at
    criticality.
article_number: '00005'
article_processing_charge: No
article_type: original
author:
- first_name: Fabrizio
  full_name: Lombardi, Fabrizio
  id: A057D288-3E88-11E9-986D-0CF4E5697425
  last_name: Lombardi
  orcid: 0000-0003-2623-5249
- first_name: Jilin W.J.L.
  full_name: Wang, Jilin W.J.L.
  last_name: Wang
- first_name: Xiyun
  full_name: Zhang, Xiyun
  last_name: Zhang
- first_name: Plamen Ch
  full_name: Ivanov, Plamen Ch
  last_name: Ivanov
citation:
  ama: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. Power-law correlations and coupling
    of active and quiet states underlie a class of complex systems with self-organization
    at criticality. <i>EPJ Web of Conferences</i>. 2020;230. doi:<a href="https://doi.org/10.1051/epjconf/202023000005">10.1051/epjconf/202023000005</a>
  apa: Lombardi, F., Wang, J. W. J. L., Zhang, X., &#38; Ivanov, P. C. (2020). Power-law
    correlations and coupling of active and quiet states underlie a class of complex
    systems with self-organization at criticality. <i>EPJ Web of Conferences</i>.
    EDP Sciences. <a href="https://doi.org/10.1051/epjconf/202023000005">https://doi.org/10.1051/epjconf/202023000005</a>
  chicago: Lombardi, Fabrizio, Jilin W.J.L. Wang, Xiyun Zhang, and Plamen Ch Ivanov.
    “Power-Law Correlations and Coupling of Active and Quiet States Underlie a Class
    of Complex Systems with Self-Organization at Criticality.” <i>EPJ Web of Conferences</i>.
    EDP Sciences, 2020. <a href="https://doi.org/10.1051/epjconf/202023000005">https://doi.org/10.1051/epjconf/202023000005</a>.
  ieee: F. Lombardi, J. W. J. L. Wang, X. Zhang, and P. C. Ivanov, “Power-law correlations
    and coupling of active and quiet states underlie a class of complex systems with
    self-organization at criticality,” <i>EPJ Web of Conferences</i>, vol. 230. EDP
    Sciences, 2020.
  ista: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. 2020. Power-law correlations and
    coupling of active and quiet states underlie a class of complex systems with self-organization
    at criticality. EPJ Web of Conferences. 230, 00005.
  mla: Lombardi, Fabrizio, et al. “Power-Law Correlations and Coupling of Active and
    Quiet States Underlie a Class of Complex Systems with Self-Organization at Criticality.”
    <i>EPJ Web of Conferences</i>, vol. 230, 00005, EDP Sciences, 2020, doi:<a href="https://doi.org/10.1051/epjconf/202023000005">10.1051/epjconf/202023000005</a>.
  short: F. Lombardi, J.W.J.L. Wang, X. Zhang, P.C. Ivanov, EPJ Web of Conferences
    230 (2020).
date_created: 2020-07-12T16:20:33Z
date_published: 2020-03-11T00:00:00Z
date_updated: 2021-01-12T08:16:55Z
day: '11'
ddc:
- '530'
department:
- _id: GaTk
doi: 10.1051/epjconf/202023000005
file:
- access_level: open_access
  content_type: application/pdf
  creator: dernst
  date_created: 2020-07-22T06:17:11Z
  date_updated: 2020-07-22T06:17:11Z
  file_id: '8144'
  file_name: 2020_EPJWebConf_Lombardi.pdf
  file_size: 2197543
  relation: main_file
  success: 1
file_date_updated: 2020-07-22T06:17:11Z
has_accepted_license: '1'
intvolume: '       230'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: EPJ Web of Conferences
publication_identifier:
  issn:
  - 2100-014X
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
status: public
title: Power-law correlations and coupling of active and quiet states underlie a class
  of complex systems with self-organization at criticality
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: 230
year: '2020'
...