S. Astakhov

Address: Astrakhanskaya st., 83, 410012, Saratov, Russia

University: Saratov State University

Publications:

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

Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
2010, vol. 15, nos. 2-3, pp. 261-273

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

Citation: Anishchenko V. S., Astakhov S. V., Vadivasova T. E., Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy, Regular and Chaotic Dynamics, 2010, vol. 15, nos. 2-3, pp. 261-273

DOI:10.1134/S1560354710020139

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