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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 2-3, Pages 261–273
DOI: https://doi.org/10.1134/S1560354710020139 (Mi rcd493) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the 75th birthday of Professor L.P. Shilnikov

Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy

V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova

Saratov State University, Astrakhanskaya ul. 83, Saratov, 410012 Russia
Citations (6)
DOI: https://doi.org/10.1134/S1560354710020139
Abstract: In this paper we summarize and substantiate the relative metric entropy approach introduced in our previous papers [1,2]. Using this approach we study the mixing influence of noise on both regular and chaotic systems. We show that the synchronization phenomenon as well as stochastic resonance decrease, the degree of mixing is caused by white Gaussian noise.
Keywords: noisy dynamical systems, entropy, mixing, Kolmogorov entropy, recurrency plot.
Received: 17.11.2009
Accepted: 24.02.2010
Bibliographic databases:
Document Type: Personalia
MSC: 37H10, 37H15
Language: English
Citation: V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova, “Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy”, Regul. Chaotic Dyn., 15:2-3 (2010), 261–273
Citation in format AMSBIB
\Bibitem{AniAstVad10}
\by V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova
\paper Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 2-3
\pages 261--273
\mathnet{http://mi.mathnet.ru/rcd493}
\crossref{https://doi.org/10.1134/S1560354710020139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2644335}
\zmath{https://zbmath.org/?q=an:1230.37065}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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