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Stochastic Phenomena in One-Dimensional Rulkov Model of Neuronal Dynamics
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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-inducedtransitions 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.
American Psychological Association (APA)
Bashkirtseva, Irina. 2015. Stochastic Phenomena in One-Dimensional Rulkov Model of Neuronal Dynamics. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060532
Modern Language Association (MLA)
Bashkirtseva, Irina. Stochastic Phenomena in One-Dimensional Rulkov Model of Neuronal Dynamics. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1060532
American Medical Association (AMA)
Bashkirtseva, Irina. Stochastic Phenomena in One-Dimensional Rulkov Model of Neuronal Dynamics. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060532
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060532