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.
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
\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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https://www.mathnet.ru/eng/rcd493
https://www.mathnet.ru/eng/rcd/v15/i2/p261
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