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Phys. Rev. E 72, 016218 (2005) [11 pages]

Quantitative analysis of chaotic synchronization by means of coherence

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A. Shabunin* and V. Astakhov
Radiophysics and Nonlinear Dynamics Department of the Saratov State University, Astrakhanskaya 83, Saratov, Russia

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

Received 21 February 2005; published 27 July 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.016218
DOI:
10.1103/PhysRevE.72.016218
PACS:
05.45.Xt

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