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ISSN 2542-1905 (Online)

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Seleznev E. P., Dudova A. S. Types of cycles symmetry in coupled period doubling systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 2, pp. 16-23.

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
518.30

Types of cycles symmetry in coupled period doubling systems

Autors: 
Seleznev Evgeny Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Dudova Anastasiia Sergeevna, Saratov State University
Abstract: 

Types of symmetry of various cycles and their evolution in coupled period doubling systems are discussed. Full symmetry leads to formation of new scenario transition to chaos. It is shown that at driven loss of full symmetry for several cycles local symmetry takes place. As well as full symmetry cycles the local one demonstrates quasiperiodic route to chaos.

Key words: 
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Acknowledgments: 
The authors are grateful to Prof. B.P. Bezruchko for fruitful discussion of the work and critical comments. The work was supported by the RFBR (grant № 99-02-17735) and Federal target program "Integration", grant № 696.3.
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Received: 
31.01.2000
Accepted: 
18.03.2000
Published: 
25.05.2000
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