Synchronization of spectral components and its regularities in chaotic dynamical systems

Alexander E. Hramov, Alexey A. Koronovskii, Mariya K. Kurovskaya, and Olga I. Moskalenko
Phys. Rev. E 71, 056204 – Published 11 May 2005

Abstract

The chaotic synchronization regime in coupled dynamical systems is considered. It has been shown that the onset of a synchronous regime is based on the appearance of a phase relation between the interacting chaotic oscillator frequency components of Fourier spectra. The criterion of synchronization of spectral components as well as the measure of synchronization has been discussed. The universal power law has been described. The main results are illustrated by coupled Rössler systems, Van der Pol and Van der Pol–Duffing oscillators.

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  • Received 29 December 2004

DOI:https://doi.org/10.1103/PhysRevE.71.056204

©2005 American Physical Society

Authors & Affiliations

Alexander E. Hramov, Alexey A. Koronovskii, Mariya K. Kurovskaya, and Olga I. Moskalenko

  • Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya, 83, Saratov 410012, Russia

  • *Electronic address: aeh@cas.ssu.runnet.ru
  • Electronic address: alkor@cas.ssu.runnet.ru

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Issue

Vol. 71, Iss. 5 — May 2005

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