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

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Kuznetsov A. P., Savin A. V. About the problem of chaos boundary and typical structures at the parameter plane of non-autonomic discrete maps with period doubling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 4, pp. 25-36. DOI: 10.18500/0869-6632-2000-8-4-25-36

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2000-8-4-25-36

About the problem of chaos boundary and typical structures at the parameter plane of non-autonomic discrete 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 series of Lyapunov graphs for non—autonomic systems with period doubling under non—periodical influence is shown. With its help the structure of chaos boundary 15 discussed, the new type of branching structures, which are typical for self—similar signals, and the phenomenon of criticality crisis are found. Scaling at Lyapunov graph for map under noise influence are demonstrated.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR (grant №99-02-17735).
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Received: 
02.02.2000
Accepted: 
20.04.2000
Published: 
23.10.2000
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