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

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Kuznetsov A. P., Savin A. V. On some tуре оf transition from order tо chaos in thе system of coupled maps with period doubling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 6, pp. 16-31. DOI: 10.18500/0869-6632-2003-11-6-16-31

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-6-16-31

On some tуре оf transition from order tо chaos in thе system of coupled maps with period doubling

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Savin Aleksej Vladimirovich, Saratov State University
Abstract: 

The critical behavior аt the onset оf chaos in thе system оf coupled invertible 2D-maps is investigated. It is shown that the type оf critical behavior which was found in the system of coupled noninvertible 1D-maps exists also in the system of coupled invertible 2D-maps, but only for the special type of coupling. For this system we obtained the coordinates of critical point and demonstrated scaling in the parameter plane near this point.

Key words: 
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Acknowledgments: 
This work was supported by grants CRDF REC-006, RFBR № 03-02-16074 and № 03-02-16192.
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Received: 
10.06.2003
Accepted: 
15.07.2003
Available online: 
06.12.2023
Published: 
31.12.2003
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