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Synchronization of spectral components and its regularities in chaotic dynamical systems

2005/05/11 by Alexander E. Hramov, Alexey A. Koronovskii, А. А. Короновский +4
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.AO #nlin.CD #nlin.PS

paper · pdf · doi:10.1103/physreve.71.056204

published as Physical Review E 71 (2005) 056204 · 10 pages, 8 figures

openalex publication_date 2005/05/11 · arxiv created 2005/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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