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Synchronization of chaotic oscillator time scales

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

We consider chaotic oscillator synchronization and propose a new approach for detecting the synchronized behavior of chaotic oscillators. This approach is based on analysis of different time scales in the time series generated by coupled chaotic oscillators. We show that complete synchronization, phase synchronization, lag synchronization, and generalized synchronization are particular cases of the synchronized behavior called time-scale synchronization. A quantitative measure of chaotic oscillator synchronous behavior is proposed. This approach is applied to coupled Rössler systems.

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Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    A. E. Hramov, A. A. Koronovskii & Yu. I. Levin

Authors
  1. A. E. Hramov
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  2. A. A. Koronovskii
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  3. Yu. I. Levin
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Additional information

From Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 127, No. 4, 2005, pp. 886–897.

Original English Text Copyright © 2005 by Hramov, Koronovskii, Levin.

This article was submitted by the authors in English.

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Hramov, A.E., Koronovskii, A.A. & Levin, Y.I. Synchronization of chaotic oscillator time scales. J. Exp. Theor. Phys. 100, 784–794 (2005). https://doi.org/10.1134/1.1926439

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  • DOI: https://doi.org/10.1134/1.1926439

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