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dc.contributor.authorBashkirtseva, I.en
dc.contributor.authorRyashko, L.en
dc.contributor.authorSlepukhina, E.en
dc.date.accessioned2019-07-22T06:45:49Z-
dc.date.available2019-07-22T06:45:49Z-
dc.date.issued2018-
dc.identifier.citationBashkirtseva 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.en
dc.identifier.issn0219-4775-
dc.identifier.otherhttps://www.worldscientific.com/doi/pdf/10.1142/S0219477518500086pdf
dc.identifier.other1good_DOI
dc.identifier.otherc5b28b51-5d2e-4b76-bd8b-6612bc3750dapure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85040993681m
dc.identifier.urihttp://elar.urfu.ru/handle/10995/75255-
dc.description.abstractA 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.en
dc.description.sponsorshipThe work was supported by Russian Science Foundation (N 16-11-10098).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherWorld Scientific Publishing Co. Pte Ltden
dc.relationinfo:eu-repo/grantAgreement/RSF//16-11-10098en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceFluctuation and Noise Lettersen
dc.subjectEXCITABILITYen
dc.subjectHINDMARSH-ROSE MODELen
dc.subjectNOISE-INDUCED CHAOTIZATIONen
dc.subjectNOISE-INDUCED TRANSITIONSen
dc.subjectSTOCHASTIC BIFURCATIONSen
dc.subjectSTOCHASTIC GENERATION OF BURSTING OSCILLATIONSen
dc.subjectSTOCHASTIC SENSITIVITYen
dc.titleMethods of Stochastic Analysis of Complex Regimes in the 3D Hindmarsh-Rose Neuron Modelen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi35543883-
dc.identifier.doi10.1142/S0219477518500086-
dc.identifier.scopus85040993681-
local.affiliationInstitute of Mathematics and Computer Science, Ural Federal University, Lenina 51, Ekaterinburg, 620083, Russian Federationen
local.contributor.employeeБашкирцева Ирина Адольфовнаru
local.contributor.employeeРяшко Лев Борисовичru
local.contributor.employeeСлепухина Евдокия Сергеевнаru
local.issue1-
local.volume17-
dc.identifier.wos000423192100009-
local.identifier.pure6432051-
local.description.order1850008-
local.identifier.eid2-s2.0-85040993681-
local.fund.rsf16-11-10098-
local.identifier.wosWOS:000423192100009-
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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