Noise-induced excitement and mixed-mode oscillatory regimes in the Chialvo model of neural activity

Bashkirtseva, I.; Tsvetkov, I.

doi:10.1063/5.0100769

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/132328

Title:	Noise-induced excitement and mixed-mode oscillatory regimes in the Chialvo model of neural activity
Authors:	Bashkirtseva, I. Tsvetkov, I.
Issue Date:	2022
Publisher:	American Institute of Physics Inc.
Citation:	Bashkirtseva, I & Tsvetkov, I 2022, Noise-induced excitement and mixed-mode oscillatory regimes in the Chialvo model of neural activity. 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., 050002, 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/10.1063/5.0100769 Bashkirtseva, I., & Tsvetkov, I. (2022). Noise-induced excitement and mixed-mode oscillatory regimes in the Chialvo model of neural activity. 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 [050002] (AIP Conference Proceedings; Том 2522). American Institute of Physics Inc.. https://doi.org/10.1063/5.0100769
Abstract:	Map-based nonlinear neuron model proposed by Chialvo is considered under the influence of random disturbances. In the deterministic case, the model possesses both mono- and bistability regimes with the coexistence of equilibrium and oscillatory modes in a form of quasiperiodic closed invariant curves. Variability of noise-induced transformations in dynamics of this model is demonstrated. Phenomena of noise-induced excitement, stochastic generation of mixed-mode oscillations, and transitions between order and chaos are discussed. © 2022 Author(s).
URI:	http://elar.urfu.ru/handle/10995/132328
Access:	info:eu-repo/semantics/openAccess
Conference name:	24 June 2021 through 29 June 2021
Conference date:	13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021
SCOPUS ID:	85140247625
PURE ID:	1cf4ef4c-0d73-4b30-90bb-67d6ae60f297 31047997
ISSN:	0094-243X
ISBN:	978-073544361-7
DOI:	10.1063/5.0100769
metadata.dc.description.sponsorship:	Russian Science Foundation, RSF, (21-11-00062) The work was supported by Russian Science Foundation, Russia (no. 21-11-00062).
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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