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

For citation:

Kuznetsov A. P., Milovanov S. V. Synchronization in thе system with both stable and unstable limit cycles collision bifurcation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 4, pp. 16-30. DOI: 10.18500/0869-6632-2003-11-4-16-30

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-4-16-30

Synchronization in thе system with both stable and unstable limit cycles collision bifurcation

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Milovanov Sergey Viktorovich, Saratov State University
Abstract: 

The paper deals with the system where stable and unstable limit cycles collision bifurcation occurs. The approximate and precise study are carried out, the parameter planes and phase portraits are also presented. The possibility of synchronization above the threshold of cycles-collision bifurcation is discovered.

Key words: 
-
Acknowledgments: 
This work was supported by the Russian Foundation for Basic Research, grant 03-02-16074.
Reference: 
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Received: 
27.02.2003
Accepted: 
29.04.2003
Available online: 
29.11.2023
Published: 
31.12.2003
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