Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons
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| Автор |
Bashkirtseva, I. A.
Pisarchik, A. N. Ryashko, L. B. |
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| Тематика |
CHAOS
COUPLED OSCILLATORS DISCRETE SYSTEM INTERMITTENCY MULTISTABILITY NONLINEAR DYNAMICS SYNCHRONIZATION |
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| Описание |
We study dynamics of a unidirectional ring of three Rulkov neurons coupled by chemical synapses. We consider both deterministic and stochastic models. In the deterministic case, the neural dynamics transforms from a stable equilibrium into complex oscillatory regimes (periodic or chaotic) when the coupling strength is increased. The coexistence of complete synchronization, phase synchronization, and partial synchronization is observed. In the partial synchronization state either two neurons are synchronized and the third is in antiphase, or more complex combinations of synchronous and asynchronous interaction occur. In the stochastic model, we observe noise-induced destruction of complete synchronization leading to multistate intermittency between synchronous and asynchronous modes. We show that even small noise can transform the system from the regime of regular complete synchronization into the regime of asynchronous chaotic oscillations. © 2023 by the authors.
Russian Science Foundation, RSF: N 21-11-00062 The work was supported by the Russian Science Foundation (N 21-11-00062). |
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| Дата |
2024-04-05T16:21:50Z
2024-04-05T16:21:50Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Bashkirtseva, IA, Pisarchik, AN & Ryashko, LB 2023, 'Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons', Mathematics, Том. 11, № 3, 597. https://doi.org/10.3390/math11030597
Bashkirtseva, I. A., Pisarchik, A. N., & Ryashko, L. B. (2023). Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons. Mathematics, 11(3), [597]. https://doi.org/10.3390/math11030597 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85158843917&doi=10.3390%2fmath11030597&partnerID=40&md5=ce0bdef2a25760824baa96d73b0777fb https://www.mdpi.com/2227-7390/11/3/597/pdf?version=1674485236 http://elar.urfu.ru/handle/10995/130467 10.3390/math11030597 85158843917 000930061800001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//21-11-00062
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
MDPI
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| Источник |
Mathematics
Mathematics |
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