ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kopeikin A. S., Vadivasova T. E., Anishchenko V. S. Peculiarities of relaxation то invariant probability measure on chaotic attractors of Lorenz and Rossler systems in the presence of noise. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 6, pp. 65-77. DOI: 10.18500/0869-6632-2000-8-6-65-77

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
5 37.86:519.21
DOI: 
10.18500/0869-6632-2000-8-6-65-77

Peculiarities of relaxation то invariant probability measure on chaotic attractors of Lorenz and Rossler systems in the presence of noise

Autors: 
Kopeikin Andrei Sergeevich, Saratov State University
Vadivasova Tatjana Evgenevna, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University
Abstract: 

In the paper we analyze the mixing process on chaotic attractors of quasi hyperbolic and nonhyperbolic type. Different characteristics of mixing are compared. It was shown experimentally that the mixing rate can significantly change at the presence of noise for nonhyperbolic attractors. We have found the mechanism of noise influence on the mixing process. It is related to the behaviour of instantaneous phase of a chaotic trajectory.

Key words: 
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Acknowledgments: 
The work was supported by the CRDF (grant REC-006) and Ministry of Education of the Russian Federation.
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Received: 
05.10.2000
Accepted: 
06.12.2000
Published: 
25.03.2001
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