Phys. Rev. E 72, 016218 (2005) - Quantitative analysis of chaotic synchronization by means of coherence

Quantitative analysis of chaotic synchronization by means of coherence

A. Shabunin, V. Astakhov, and J. Kurths

Phys. Rev. E 72, 016218 – Published 27 July 2005

Abstract

We use an index of chaotic synchronization based on the averaged coherence function for the quantitative analysis of the process of the complete synchronization loss in unidirectionally coupled oscillators and maps. We demonstrate that this value manifests different stages of the synchronization breaking. It is invariant to time delay and insensitive to small noise and distortions, which can influence the accessible signals at measurements. Peculiarities of the synchronization destruction in maps and oscillators are investigated.

Received 21 February 2005

DOI:https://doi.org/10.1103/PhysRevE.72.016218

©2005 American Physical Society

Authors & Affiliations

A. Shabunin^* and V. Astakhov

Radiophysics and Nonlinear Dynamics Department of the Saratov State University, Astrakhanskaya 83, Saratov, Russia

Nonlinear Dynamics Laboratory of the Potsdam University, Neuen Palace 19, Potsdam, Germany

^*Electronic address: alexey@chaos.ssu.runnet.ru

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Vol. 72, Iss. 1 — July 2005

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