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Studying the Possible Existence of Multistability Near the Boundary of Generalized Synchronization by Calculating Local Lyapunov Exponents

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The possible existence of multistability near the boundary of generalized synchronization is investigated by calculating local Lyapunov exponents. Many pairs of coupled Rössler systems are used to find that multistability arises with both unidirectional and mutual coupling.

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Funding

This work was supported by the Russian Science Foundation (project no. 19-12-00037).

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Authors and Affiliations

  1. Saratov State University, 410012, Saratov, Russia

    E. V. Evstifeev & O. I. Moskalenko

  2. Regional Center of Mathematics of Future Technologies, 410012, Saratov, Russia

    E. V. Evstifeev & O. I. Moskalenko

Authors
  1. E. V. Evstifeev
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  2. O. I. Moskalenko
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Corresponding author

Correspondence to E. V. Evstifeev.

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The authors declare that they have no conflicts of interest.

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Translated by T. Sokolova

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Evstifeev, E.V., Moskalenko, O.I. Studying the Possible Existence of Multistability Near the Boundary of Generalized Synchronization by Calculating Local Lyapunov Exponents. Bull. Russ. Acad. Sci. Phys. 86, 216–220 (2022). https://doi.org/10.3103/S1062873822020101

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  • DOI: https://doi.org/10.3103/S1062873822020101

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