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On precision of wavelet phase synchronization of chaotic systems

  • Statistical, Nonlinear, and Soft Matter Physics
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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.

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Correspondence to E. B. Postnikov.

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Original Russian Text © E.B. Postnikov, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 3, pp. 742–745.

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Postnikov, E.B. On precision of wavelet phase synchronization of chaotic systems. J. Exp. Theor. Phys. 105, 652–654 (2007). https://doi.org/10.1134/S1063776107090233

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  • DOI: https://doi.org/10.1134/S1063776107090233

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