Simple estimation of synchronization threshold in ensembles of diffusively coupled chaotic systems

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Abstract

The sample estimation of synchronization threshold in the set of coupled chaotic systems with diagonal diffusive coupling was defined. Such coupling in the ensembles of identical chaotic oscillators caused the synchronization tendency to be a product of largest Lyapunov exponent (LLE) of the node system and the effective coupling rate between them. The concept of diffusive synchronization stability matrix (DSSM) in order to investigate the stability of the synchronous regime. The simulations confirmed that such a linear approach approximates the synchronization threshold with high precision.

Original languageEnglish
Article number026217
Pages (from-to)026217-1-026217-11
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number2 2
DOIs
Publication statusPublished - Aug 2004
Externally publishedYes

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