A. S. Zakharova, T. E. Vadivasova, V. S. Anishchenko, “The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations”, Nelin. Dinam., 4:2 (2008), 169

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2008, Volume 4, Number 2, Pages 169–180 (Mi nd230)

This article is cited in 1 scientific paper (total in 1 paper)

The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations

A. S. Zakharova, T. E. Vadivasova, V. S. Anishchenko

Saratov State University

Full-text PDF (167 kB) Citations (1)

Abstract: We investigate effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations and its connection with synchronization threshold. It is showed that effective phase diffusion coefficient in contrast to maximal Lyapunov exponent allows to distinguish the regions of spiral and funnel attractor. We ascertain that synchronization threshold of chaos is in order-of-magnitude agreement with the value of diffusion coefficient divided by the mean frequency of self-sustained oscillations.

Keywords: chaotic self-sustained oscillations, synchronization threshold, effective diffusion coefficient of instantaneous phase.

Received: 14.02.2008

Document Type: Article

UDC: 537.86

MSC: 39Axx, 93D05

Language: Russian

Citation: A. S. Zakharova, T. E. Vadivasova, V. S. Anishchenko, “The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations”, Nelin. Dinam., 4:2 (2008), 169–180

Citation in format AMSBIB

\Bibitem{ZakVadAni08}

\by A.~S.~Zakharova, T.~E.~Vadivasova, V.~S.~Anishchenko

\paper The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations

\jour Nelin. Dinam.

\yr 2008

\vol 4

\issue 2

\pages 169--180

\mathnet{http://mi.mathnet.ru/nd230}

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https://www.mathnet.ru/eng/nd/v4/i2/p169

This publication is cited in the following 1 articles:

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