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Different types of multistability in the Chialvo map

Proceedings of 2024 8th Scientific School Dynamics of Complex Networks and their Applications (DCNA), Publisher IEEE. 2024. P. 181–183.
Panyushev A., Посненкова О. М., Stankevich N.

We study different types of multistability in the neuron model with discrete time - the Chialvo map. Multistability of the first type corresponds to the case when resonant and non-resonant invariant curve coexist in phase space. For another parameters of the model we have found coexistence between invariant curve and chaos. We analyze mechanisms of appearance and destruction of multistability.

Research target: Mathematics
Language: English
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Keywords: chaosbasin of attractionmultistabilityinvariant curvesChialvo map
Publication based on the results of:
Математическое и радиофизическое моделирование сложной динамики живых систем для развития методов анализа экспериментальных данных (2025)
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