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Anishchenko V. S., Vadivasova T. E., Sosnovtseva O. V. Mechanisms of strange nonchaotic attractor birth in the ring map with quasiperiodic excitation. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 34-43.

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9

Mechanisms of strange nonchaotic attractor birth in the ring map with quasiperiodic excitation

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Vadivasova Tatjana Evgenevna, Saratov State University
Sosnovtseva Olga Vladimirovna, Danmarks Tekniske Universitet
Abstract: 

The results.of computer simulation of the dynamic of two-dimensional ring map with quasiperiodic excitation are represented on the control parameter plane. The mechanisms of the strange nonchaotic attractor regime appearance and its roughness in relation to external noise addition are established. The results were obtained using a method of bifurcational diagram drawing, analysis of attractor phase portrets, autocorrelation function calculation, with addition of rational approximation method.

Key words: 
-
Acknowledgments: 
We take the opportunity to thank Ju.Kurths, A.Pikovsky and U.Feudel for discussing the results of the work and helping with the calculations. The work was partially financed by the International Science Foundation (grant MK0000) and the State Committee for Higher Education of Russia (grant 93-8.2-10).
Reference: 
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Received: 
28.12.1994
Accepted: 
02.03.1995
Published: 
05.04.1996
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