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


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Stratonovich R. L. The dynamic chaos in а system with the Markov mapping and the exponential law of exit from metastable state. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 28-33.

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Language: 
Russian
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Article type: 
Article
UDC: 
519.217

The dynamic chaos in а system with the Markov mapping and the exponential law of exit from metastable state

Autors: 
Stratonovich Ruslan Leontevich, Lomonosov Moscow State University
Abstract: 

The special kind of the metastable state and the fluctuational exit from it are considered. The process in the system is near to the auto-stochastic process (the dynamic chaos) described by extending the Markov mapping if life-time of the state is great. It is
shown that the exit law is exponential. Thus the process of the metastable state exit is another example of the exponential exit along with the potential well exit considered in the diffusional Markov exit theory.

Key words: 
Acknowledgments: 
This research was partially funded by an ND 1000 grant from the International Science Foundation and an ND 1300 grant from the International Science Foundation and the Russian government.
Reference: 
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Received: 
02.02.1995
Accepted: 
25.07.1995
Published: 
05.04.1996