RUS  ENG
Полная версия
ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2010, том 15, выпуск 2-3, страницы 261–273 (Mi rcd493)

Эта публикация цитируется в 6 статьях

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

Аннотация: 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.

Ключевые слова: noisy dynamical systems, entropy, mixing, Kolmogorov entropy, recurrency plot.

MSC: 37H10, 37H15

Поступила в редакцию: 17.11.2009
Принята в печать: 24.02.2010

Язык публикации: английский

DOI: 10.1134/S1560354710020139



Реферативные базы данных:


© МИАН, 2024