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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2010 Volume 15, Issue 2-3, Pages 261–273 (Mi rcd493)

This article is cited 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

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.

MSC: 37H10, 37H15

Received: 17.11.2009
Accepted: 24.02.2010

Language: English

DOI: 10.1134/S1560354710020139



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