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

For citation:

Kuznetsov A. P., Turukina L. V., Savin A. V., Sataev I. R., Sedova Y. V., Milovanov S. V. Multi-parameter picture of transition to chaos. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 3, pp. 80-96. DOI: 10.18500/0869-6632-2002-10-3-80-96

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Language: 
English
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2002-10-3-80-96

Multi-parameter picture of transition to chaos

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University
Savin Aleksej Vladimirovich, Saratov State University
Sataev Igor Rustamovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Sedova Yuliya Viktorovna, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Milovanov Sergey Viktorovich, Saratov State University
Abstract: 

In this paper we outline several research directions linked with multi-parameter analysis of complex dynamics of nonlinear systems. In particular, we discuss examples of realistic models of multi-parameter systems, critical phenomena at the chaos threshold, correspondence of features of differential equations and maps etc.

Key words: 
-
Acknowledgments: 
The authors thank S.P. Kuznetsov for discussions. The work was supported by CRDF аnd Ministry оf Education оf Russian Federation (grant REC-006), by Russian Foundation of Basic Research (grants 00-02-17509 аnd 02-02-06469) аnd Russian Foundation of assistance to science fo our country.
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Received: 
18.05.2002
Accepted: 
10.06.2002
Available online: 
12.01.2024
Published: 
30.09.2002
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