Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality
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 hypothes...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2020/06/epjconf_fismat2019_00005.pdf |
| _version_ | 1818618570715693056 |
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| author | Lombardi Fabrizio Wang Jilin W.J.L. Zhang Xiyun Ivanov Plamen Ch |
| author_facet | Lombardi Fabrizio Wang Jilin W.J.L. Zhang Xiyun Ivanov Plamen Ch |
| author_sort | Lombardi Fabrizio |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T17:23:42Z |
| format | Article |
| id | doaj.art-af2b3aee0f554d64be7d113716704129 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T17:23:42Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-af2b3aee0f554d64be7d1137167041292022-12-21T22:23:06ZengEDP SciencesEPJ Web of Conferences2100-014X2020-01-012300000510.1051/epjconf/202023000005epjconf_fismat2019_00005Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticalityLombardi FabrizioWang Jilin W.J.L.0Zhang Xiyun1Ivanov Plamen ChKeck Laboratory for Network Physiology, Department of Physics, Boston UniversityKeck Laboratory for Network Physiology, Department of Physics, Boston UniversityPhysical 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.https://www.epj-conferences.org/articles/epjconf/pdf/2020/06/epjconf_fismat2019_00005.pdf |
| spellingShingle | Lombardi Fabrizio Wang Jilin W.J.L. Zhang Xiyun Ivanov Plamen Ch 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 |
| title | Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality |
| title_full | Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality |
| title_fullStr | Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality |
| title_full_unstemmed | Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality |
| title_short | Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality |
| title_sort | power law correlations and coupling of active and quiet states underlie a class of complex systems with self organization at criticality |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2020/06/epjconf_fismat2019_00005.pdf |
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