Noise-induced dynamical regimes in a system of globally coupled excitable units
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2853 | |
dc.contributor.author | Klinshov, Vladimir V. | |
dc.contributor.author | Kirillov, Sergey Yu. | |
dc.contributor.author | Nekorkin, Vladimir I. | |
dc.contributor.author | Wolfrum, Matthias | |
dc.date.accessioned | 2022-07-05T14:10:48Z | |
dc.date.available | 2022-07-05T14:10:48Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We study the interplay of global attractive coupling and individual noise in a system of identical active rotators in the excitable regime. Performing a numerical bifurcation analysis of the nonlocal nonlinear Fokker-Planck equation for the thermodynamic limit, we identify a complex bifurcation scenario with regions of different dynamical regimes, including collective oscillations and coexistence of states with different levels of activity. In systems of finite size this leads to additional dynamical features, such as collective excitability of different types, noise-induced switching and bursting. Moreover, we show how characteristic quantities such as macroscopic and microscopic variability of inter spike intervals can depend in a non-monotonous way on the noise level. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9571 | |
dc.identifier.uri | https://doi.org/10.34657/8609 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2853 | |
dc.relation.hasversion | https://doi.org/10.1063/5.0056504 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Coherence resonance | eng |
dc.subject.other | synchronization | eng |
dc.subject.other | collective spiking | eng |
dc.subject.other | Fokker-Planck equation | eng |
dc.title | Noise-induced dynamical regimes in a system of globally coupled excitable units | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 11 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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