On Precision of Wavelet Phase Synchronization
of Chaotic Systems

E. B. Postnikov

Kursk State University, Kursk, 305000 Russia

e-mail: postnicov@mail.ru

Received January 12, 2007

Abstract—It is shown that time-scale synchronization of chaotic systems with ill-defined conventional phase
is achieved by using wavelet transforms with center frequencies above a certain threshold value. It is found that
the possibility of synchronization detection by introducing a wavelet phase is related to diffusion averaging of
the analyzed signals.

PACS numbers: 05.45.Xt

DOI: 10.1134/S1063776107090233

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