Dynamics of a stochastic excitable system with slowly adapting feedback

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dc.citation.issue8
dc.citation.rankM21a
dc.citation.spage083109
dc.citation.volume30
dc.contributor.authorFranović, Igor
dc.contributor.authorYanchuk, Serhiy
dc.contributor.authorEydam, Sebastian
dc.contributor.authorBačić, Iva
dc.contributor.authorWolfrum, Matthias
dc.date.accessioned2024-06-17T13:48:08Z
dc.date.available2024-06-17T13:48:08Z
dc.date.issued2020-08-03
dc.description.abstractWe study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiking, noise-perturbed oscillations, or stochastic bursting. We show how the system exhibits transitions between these dynamical regimes, as well as how one can enhance or suppress the coherence resonance or effectively control the features of the stochastic bursting. The setup can be considered a paradigmatic model for a neuron with a slow recovery variable or, more generally, as an excitable system under the influence of a nonlinear control mechanism. We employ a multiple timescale approach that combines the classical adiabatic elimination with averaging of rapid oscillations and stochastic averaging of noise-induced fluctuations by a corresponding stationary Fokker–Planck equation. This allows us to perform a numerical bifurcation analysis of a reduced slow system and to determine the parameter regions associated with different types of dynamics. In particular, we demonstrate the existence of a region of bistability, where the noise-induced switching between a stationary and an oscillatory regime gives rise to stochastic bursting.
dc.identifier.doi10.1063/1.5145176
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.scopus2-s2.0-85089426157
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/110
dc.identifier.wos000559328100009
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartofChaos: An Interdisciplinary Journal of Nonlinear Science
dc.relation.ispartofabbrChaos
dc.rightsrestrictedAccess
dc.titleDynamics of a stochastic excitable system with slowly adapting feedback
dc.typeArticle
dc.type.versionpublishedVersion
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