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

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Astahov S. V., Bezruchko B. P., Seleznev E. P., Smirnov D. A. Evolution of basins of attraction for coupled period doubling systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 2, pp. 87-99. DOI: 10.18500/0869-6632-1997-5-2-87-99

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
530.18
DOI: 
10.18500/0869-6632-1997-5-2-87-99

Evolution of basins of attraction for coupled period doubling systems

Autors: 
Astahov Sergej Vladimirovich, Saratov State University
Bezruchko Boris Petrovich, Saratov State University
Seleznev Evgeny Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Smirnov Dmitrij Alekseevich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Peculiarities of basin structure for dissipatively coupled period doubling systems are investigated both experimentally (RL—diode circuits) and numerically (system of quadratic maps). Characteristic types of basin evolution are recognized; in particular, two possible variants of basin fractalization are found.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR, grant N 96-02-16753.
Reference: 
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Received: 
25.10.1996
Accepted: 
25.06.1997
Published: 
17.07.1997
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