Synchronization of spectral components and its regularities in chaotic dynamical systems

Details Synchronization of spectral components and its regularities in chaotic dynamical systems Synchronization of spectral components and its regularities in chaotic dynamical systems

2005-05-13

arxiv.org/abs/nlin/0505038v1

Physical Review E 71 (2005) 056204

Nonlinear Sciences

Chaotic Dynamics

10 pages, 8 figures

Scientific paper

10.1103/PhysRevE.71.056204

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

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