Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation
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| Заглавие |
Stochastic generation of bursting oscillations in the spiking region of a 3D neuron model with the Lukyanov-Shilnikov bifurcation
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| Автор |
Slepukhina, E.
Ryashko, L. |
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| Описание |
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).
Russian Science Foundation, RSF, (N 21-11-00062) The work was supported by Russian Science Foundation (N 21-11-00062). |
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| Дата |
2024-04-22T15:52:31Z
2024-04-22T15:52:31Z 2022 |
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| Тип |
Conference paper
Conference object (info:eu-repo/semantics/conferenceObject) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
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
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 978-073544361-7 0094-243X Final All Open Access; Bronze Open Access https://aip.scitation.org/doi/pdf/10.1063/5.0100926 https://aip.scitation.org/doi/pdf/10.1063/5.0100926 http://elar.urfu.ru/handle/10995/132320 10.1063/5.0100926 85140209151 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
American Institute of Physics Inc.
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| Источник |
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
AIP Conference Proceedings |
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