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

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Kuznetsov A. P., Kuznetsov S. P., Sataev I. R. Critical dynamics for one-dimensional maps. Part II. Two-parametre transition to chaos. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 3, pp. 17-35. DOI: 10.18500/0869-6632-1993-1-3-17-35

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Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1993-1-3-17-35

Critical dynamics for one-dimensional maps. Part II. Two-parametre transition to chaos

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
Sataev Igor Rustamovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Generalization of Feigenbaum’s method is considered with respect to the two—parametre transition to chaos in one—dimensional maps. The approximate and exact renormalization group analyses are developed. Illustrations of scaling are presented and physical examples are discussed.

Key words: 
-
Acknowledgments: 
The work was supported by the Foundation for Basic Research of Russia. Grant FBR 93-02-161169.
Reference: 
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Received: 
12.04.1993
Accepted: 
11.07.1993
Published: 
12.01.1994
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