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

For citation:

Seleznev E. P., Zaharevich A. M. Structure of the control parameters space in the model of the nonlinear oscillator under two-frequency driving. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 2, pp. 39-44. DOI: 10.18500/0869-6632-2001-9-2-39-44

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.18
DOI: 
10.18500/0869-6632-2001-9-2-39-44

Structure of the control parameters space in the model of the nonlinear oscillator under two-frequency driving

Autors: 
Seleznev Evgeny Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Zaharevich Andrej Mihajlovich, Saratov State University
Abstract: 

Manifold of resonance cycles of the discrete model of nonlinear oscillator under two—frequency external force with rational frequency ratio is investigated numerically. Classification of cycles is down and dependence of structure evolution of the control parameter plane from frequency ratio is investigated.

Key words: 
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Acknowledgments: 
The work supported by the Russian Foundation for Basic Research, grant № 99-02-17735, and supported byU.S. Civilian Research Development Foundation for the Independent States of the Former Soviet Union, Avard № RЕС-006 and by the Federal Program "Integration", grant № 696.3.
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Received: 
18.01.2001
Accepted: 
12.05.2001
Published: 
17.07.2001
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