Stochastic phenomena in one-dimensional Rulkov model of neuronal dynamics
type: Item
instance of: scholarly article
title: Stochastic phenomena in one-dimensional Rulkov model of neuronal dynamics
zbMATH Open document ID: 1418.92022
DOI: 10.1155/2015/495417
author: Irina Bashkirtseva
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We study the nonlinear Rulkov map-based neuron model forced by random disturbances. For this model, an overview of the variety of stochastic regimes is given. For the parametric analysis of these regimes, the stochastic sensitivity functions technique is used. In a period-doubling zone, we analyze backward stochastic bifurcations modelling changes of modality of noisy neuron spiking. Noise-induced transitions in a zone of bistability are considered. It is shown how such random transitions can generate a new neuronal regime of the stochastic bursting and transfer the system from order to chaos. A transient zone of values of noise intensity corresponding to the onset of noise-induced bursting and chaotization is localized by the stochastic sensitivity functions technique.
Mathematics Subject Classification ID: 92C20
zbMATH DE Number: 7025381
Wikidata QID: Q59105947
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/495417
OpenAlex ID: W2147825571
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description: scientific article; zbMATH DE number 7025381