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

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Kuptsov P. V., Kuznetsov S. P. Wavelet analysis of critical attractors. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 5, pp. 10-25. DOI: 10.18500/0869-6632-1999-7-5-10-25

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1999-7-5-10-25

Wavelet analysis of critical attractors

Autors: 
Kuptsov Pavel Vladimirovich, 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
Abstract: 

Wavelet analysis is developed for critical attractors of one— and two—dimensional maps аt the threshold of the chaos onset via period—doubling cascades. Numerically calculated wavelet diagrams are presented and discussed relating to critical attractors of different universality classes.

Key words: 
-
Acknowledgments: 
The work was supported by the RFBF, project № 97-02-16414.
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Received: 
03.06.1999
Accepted: 
05.10.1999
Published: 
01.12.1999
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