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

For citation:

Kuznetsov A. P., Sataev I. R., Turukina L. V. Phase dynamics of periodically driven quasiperiodic self­-vibrating oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 17-32. DOI: 10.18500/0869-6632-2010-18-4-17-32

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2010-18-4-17-32

Phase dynamics of periodically driven quasiperiodic self­-vibrating oscillators

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Sataev Igor Rustamovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University
Abstract: 

Synchronization phenomena are studied in phase dynamics approximation in the periodically driven system of two coupled oscillators. The cases are discussed when the autonomous oscillators demonstrate phase locking or beats with incommensurate frequencies. Lyapunov charts are presented, the possible regimes of dynamics of the driven system are discussed. Different types of two-dimensional tori are revealed and classified. The modification of computer generated charts of dynamical regimes method is suggested to identify the domains of existence for different two-dimensional tori.

Key words: 
synchronization
phase oscillators
quasiperiodic dynamics
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Received: 
15.12.2009
Accepted: 
20.05.2010
Published: 
29.10.2010
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