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

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Seleznev E. P., Zaharevich A. M. Fractal properties оf synchronous chaos in coupled maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 5, pp. 19-24. DOI: 10.18500/0869-6632-2002-10-5-19-24

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
530.18
DOI: 
10.18500/0869-6632-2002-10-5-19-24

Fractal properties оf synchronous chaos in coupled maps

Autors: 
Seleznev Evgeny Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Zaharevich Andrej Mihajlovich, Saratov State University
Abstract: 

We investigate numerically the influence of asymmetry оn synchronous chaos in the system of dissipatively coupled quadratic maps. It is shown that the synchronous chaotic attractor becomes fractal after the loss оf transversal superstability in the asymmetrical system. Correlation dimension of the attractor demonstrates nonmonotonic dependence on the coupling coefficient near the synchronization boundary (at the coupling decrease).

Key words: 
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Acknowledgments: 
The work was carried out with the financial support of RFBR, grant No. 2-02-17578, RAS grant No. 23, with the support of CRDF, REC-006.
Reference: 
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Received: 
04.09.2002
Accepted: 
15.10.2002
Available online: 
24.01.2024
Published: 
30.12.2002
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