Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation

Slepukhina, E.; Ryashko, L.

doi:10.1063/5.0100926

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Поле DC	Значение	Язык
dc.contributor.author	Slepukhina, E.	en
dc.contributor.author	Ryashko, L.	en
dc.date.accessioned	2024-04-22T15:52:31Z	-
dc.date.available	2024-04-22T15:52:31Z	-
dc.date.issued	2022	-
dc.identifier.citation	Slepukhina, E & Ryashko, L 2022, Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation. в MD Todorov (ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021., 050012, AIP Conference Proceedings, Том. 2522, American Institute of Physics Inc., 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021, Albena, Болгария, 24/06/2021. https://doi.org/10.1063/5.0100926	harvard_pure
dc.identifier.citation	Slepukhina, E., & Ryashko, L. (2022). Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation. в M. D. Todorov (Ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021 [050012] (AIP Conference Proceedings; Том 2522). American Institute of Physics Inc.. https://doi.org/10.1063/5.0100926	apa_pure
dc.identifier.isbn	978-073544361-7
dc.identifier.issn	0094-243X
dc.identifier.other	Final	2
dc.identifier.other	All Open Access; Bronze Open Access	3
dc.identifier.other	https://aip.scitation.org/doi/pdf/10.1063/5.0100926	1
dc.identifier.other	https://aip.scitation.org/doi/pdf/10.1063/5.0100926	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/132320	-
dc.description.abstract	A stochastic three-dimensional neuron model with the Lukyanov-Shilnikov bifurcation is studied. We show that in the parameter region where the deterministic system exhibits tonic spiking regime with a single stable limit cycle, noise can induce bursting activity. This stochastic phenomenon is confirmed by changes in spacial and temporal characteristics of oscillations. The probabilistic mechanism of the stochastic generation of bursting is studied by means of the stochastic sensitivity functions and Mahalanobis metrics. © 2022 Author(s).	en
dc.description.sponsorship	Russian Science Foundation, RSF, (N 21-11-00062)	en
dc.description.sponsorship	The work was supported by Russian Science Foundation (N 21-11-00062).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	American Institute of Physics Inc.	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21	2
dc.source	AIP Conference Proceedings	en
dc.title	Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation	en
dc.type	Conference paper	en
dc.type	info:eu-repo/semantics/conferenceObject	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.conference.name	24 June 2021 through 29 June 2021	en
dc.conference.date	13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021
dc.identifier.doi	10.1063/5.0100926	-
dc.identifier.scopus	85140209151	-
local.contributor.employee	Slepukhina E., Institute of Applied Mathematics and Statistics, University of Hohenheim, Schloss Hohenheim 1, Stuttgart, 70599, Germany	en
local.contributor.employee	Ryashko L., Ural Federal University, 51 Lenin str, Ekaterinburg, 620083, Russian Federation	en
local.volume	2522
local.contributor.department	Institute of Applied Mathematics and Statistics, University of Hohenheim, Schloss Hohenheim 1, Stuttgart, 70599, Germany	en
local.contributor.department	Ural Federal University, 51 Lenin str, Ekaterinburg, 620083, Russian Federation	en
local.identifier.pure	8b747021-de34-4b08-ba90-5876a5a14e31	uuid
local.identifier.pure	31047938	-
local.description.order	50012
local.identifier.eid	2-s2.0-85140209151	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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