This article is cited in 8 papers

Effect of noise-induced crisis of attractor on characteristics of Poincaré recurrence

V. S. Anishchenko, M. E. Khairulin

Saratov State University

Abstract: The effect of noise on the Poincaré recurrence time has been studied in a one-dimensional map with quasi-attractor. The validity of the Kac theorem in application to noise systems is substantiated. Results of calculations of the distribution of recurrence times in a noisy system are presented.

Received: 10.02.2011

 English version: Technical Physics Letters, 2011, 37:6, 561–564

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