Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/75255
Title: Methods of Stochastic Analysis of Complex Regimes in the 3D Hindmarsh-Rose Neuron Model
Authors: Bashkirtseva, I.
Ryashko, L.
Slepukhina, E.
Issue Date: 2018
Publisher: World Scientific Publishing Co. Pte Ltd
Citation: Bashkirtseva I. Methods of Stochastic Analysis of Complex Regimes in the 3D Hindmarsh-Rose Neuron Model / I. Bashkirtseva, L. Ryashko, E. Slepukhina // Fluctuation and Noise Letters. — 2018. — Vol. 17. — Iss. 1. — 1850008.
Abstract: A problem of the stochastic nonlinear analysis of neuronal activity is studied by the example of the Hindmarsh-Rose (HR) model. For the parametric region of tonic spiking oscillations, it is shown that random noise transforms the spiking dynamic regime into the bursting one. This stochastic phenomenon is specified by qualitative changes in distributions of random trajectories and interspike intervals (ISIs). For a quantitative analysis of the noise-induced bursting, we suggest a constructive semi-analytical approach based on the stochastic sensitivity function (SSF) technique and the method of confidence domains that allows us to describe geometrically a distribution of random states around the deterministic attractors. Using this approach, we develop a new algorithm for estimation of critical values for the noise intensity corresponding to the qualitative changes in stochastic dynamics. We show that the obtained estimations are in good agreement with the numerical results. An interplay between noise-induced bursting and transitions from order to chaos is discussed. © 2018 World Scientific Publishing Company.
Keywords: EXCITABILITY
HINDMARSH-ROSE MODEL
NOISE-INDUCED CHAOTIZATION
NOISE-INDUCED TRANSITIONS
STOCHASTIC BIFURCATIONS
STOCHASTIC GENERATION OF BURSTING OSCILLATIONS
STOCHASTIC SENSITIVITY
URI: http://elar.urfu.ru/handle/10995/75255
Access: info:eu-repo/semantics/openAccess
RSCI ID: 35543883
SCOPUS ID: 85040993681
WOS ID: 000423192100009
PURE ID: 6432051
ISSN: 0219-4775
DOI: 10.1142/S0219477518500086
metadata.dc.description.sponsorship: The work was supported by Russian Science Foundation (N 16-11-10098).
RSCF project card: 16-11-10098
Appears in Collections:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

Files in This Item:
File Description SizeFormat 
10.1142-s0219477518500086.pdf6,32 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.