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Neiman A. B. The cumulant approach for the investigation of bifurcations of dynamical systems driven by the external noise. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 8-21.

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Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
621.373

The cumulant approach for the investigation of bifurcations of dynamical systems driven by the external noise

Autors: 
Neiman Aleksander Borisovich, Ohio University
Abstract: 

The problems of bifurcation analysis of noisy systems are considered. The technique of bifurcation analysis based on the cumulant expansion is proposed. The noise influence оn the mode-lockirg bifurcations in the circle map and оn the period-doubling bifurcations in the Feigenbaum map is considered as examples.

Key words: 
-
Acknowledgments: 
The author expresses sincere gratitude to Yu.L. Klimontovich and V.S. Anishchenko for support of the work and valuable comments. The author is grateful to J. Kurths, U. Feudel, W. Ebeling, A. S. Pikovsky and L. Schimansky-Geier for discussing the results of the work. The work was partially supported by funds from the International Science Foundation (grant NRO 000) and the State Committee for Higher Education of Russia (grant 93-8.2-10).
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Received: 
10.01.1995
Accepted: 
15.03.1995
Published: 
05.04.1996
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