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}
Linking options:
https://www.mathnet.ru/eng/rcd493
https://www.mathnet.ru/eng/rcd/v15/i2/p261
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N. V. Nikitina, V. N. Sidorets, “Bifurcation Processes in a Physical Model”, Int Appl Mech, 52:3 (2016), 326
V. S. Anishchenko, S. V. Astakhov, “Poincaré recurrence theory and its applications to nonlinear physics”, Phys. Usp., 56:10 (2013), 955–972
Sergey V. Astakhov, Anton Dvorak, Vadim S. Anishchenko, “Influence of chaotic synchronization on mixing in the phase space of interacting systems”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 23:1 (2013)
Sergey V. Astakhov, Vadim S. Anishchenko, “Afraimovich–Pesin dimension for Poincaré recurrences in one- and two-dimensional deterministic and noisy chaotic maps”, Physics Letters A, 376:47-48 (2012), 3620
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