Different types of multistability in the Chialvo map

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.

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Published
2024-09-19
DOI
https://doi.org/10.1109/dcna63495.2024.10718510
Citations
1
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.28
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article

Different types of multistability in the Chialvo map

Olga M. Posnenkova, Nataliya V. Stankevich, Anton Panyushev
1 citations
Quantum chaos and dynamical systems
0.28
article

Different types of multistability in the Chialvo map

Olga M. Posnenkova, Nataliya V. Stankevich, Anton Panyushev
article en
1 citations

Abstract

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.

National Research University Higher School of Economics (RU), Saratov State Medical University (RU)
Climate action
Openalex Percentile: Top 44%
Quantum chaos and dynamical systems
0.28
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