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A Method of Determining the Characteristics of Intermittent Generalized Synchronization Based on the Calculation of Local Lyapunov Exponents

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Abstract

A method for separating laminar and turbulent phases in coupled systems occurring near the boundary of generalized chaotic synchronization is proposed that is based on calculations of local Lyapunov exponents. The suitability of the proposed method has been verified in relation to systems with unidirectional coupling, which admit the analysis of intermittency with the aid of an auxiliary system approach. Results obtained by the two methods are compared to show good mutual agreement.

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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

    O. I. Moskalenko, E. V. Evstifeev & A. A. Koronovskii

  2. Regional Research and Education Center “Mathematics of Future Technologies”, 410012, Saratov, Russia

    O. I. Moskalenko, E. V. Evstifeev & A. A. Koronovskii

Authors
  1. O. I. Moskalenko
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  2. E. V. Evstifeev
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  3. A. A. Koronovskii
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Correspondence to O. I. Moskalenko.

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The authors declare that they have no conflict of interest.

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Translated by P. Pozdeev

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Moskalenko, O.I., Evstifeev, E.V. & Koronovskii, A.A. A Method of Determining the Characteristics of Intermittent Generalized Synchronization Based on the Calculation of Local Lyapunov Exponents. Tech. Phys. Lett. 46, 792–795 (2020). https://doi.org/10.1134/S1063785020080246

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  • DOI: https://doi.org/10.1134/S1063785020080246

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