Synchronization of spectral components and its regularities in chaotic dynamical systems
arXiv:nlin/0505038 · doi:10.1103/PhysRevE.71.056204
Abstract
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 Rössler systems, Van-der-Pol and Van-der-Pol-Duffing oscillators.
10 pages, 8 figures
References in corpus (4)
Cited by in corpus (13)
- Detecting synchronization of self-sustained oscillators by external driving with varying frequency
- Detection of synchronization from univariate data using wavelet transform
- Spurious detection of phase synchronization in coupled nonlinear oscillators
- On-Off Intermittency in Time Series of Spontaneous Paroxysmal Activity in Rats with Genetic Absence Epilepsy
- Are generalized synchronization and noise--induced synchronization identical types of synchronous behavior of chaotic oscillators?
- Generalized synchronization in coupled Ginzburg-Landau equations and mechanisms of its arising
- Chaotic synchronization in coupled spatially extended beam-plasma systems
- Two Types of Phase Synchronization Destruction
- Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback
- Generalized Chaotic Synchronizationin Coupled Ginzburg-Landau Equations
- Synchronous Behavior of Coupled Systems with Discrete Time
- Two Scenarios of Breaking Chaotic Phase Synchronization
- Detecting unstable periodic spatio-temporal states of spatial extended chaotic systems