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

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Kuznetsov A. P., Kuznetsov S. P., Savin A. V., Sataev I. R. Critical behavior of asymmetrically coupled noisy driven nonidentical systems with period-doublings. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 5, pp. 62-72. DOI: 10.18500/0869-6632-2006-14-5-62-72

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2006-14-5-62-72

Critical behavior of asymmetrically coupled noisy driven nonidentical systems with period-doublings

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

We investigated the influence of external noise on the critical behavior typical to nonidentical coupled systems with period-doubling. We obtained the numerical value of the scaling factor for noise amplitude by means of the renormalization group analysis. Also we demonstrated the self-similar structure of the parameter plane near the critical point in the model system of two noisy driven coupled logistic maps.

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Reference: 
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Received: 
03.02.2006
Accepted: 
26.04.2006
Published: 
30.11.2006
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