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

For citation:

Peregorodova E. N., Ryskin N. M., Usacheva S. A. Synchronization of the system of two competing modes by external harmonic signal. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 154-170. DOI: 10.18500/0869-6632-2011-19-3-154-170

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Russian
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Article
UDC: 
537.86/530.182
DOI: 
10.18500/0869-6632-2011-19-3-154-170

Synchronization of the system of two competing modes by external harmonic signal

Autors: 
Peregorodova Ekaterina Nikolaevna, Saratov State University
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Usacheva Svetlana Aleksandrovna, Saratov State University
Abstract: 

Forced synchronization of self-oscillating system with two degrees of freedom is studied in the case when there are no resonance relations between eigenfrequencies and interaction of the modes has the form of mode competition. Stability conditions for the regimes of one- and two-frequency oscillations are obtained analytically. The structure of synchronization tongues on the frequency–amplitude of external driving parameters plane is studied numerically. Mechanisms of establishing of the synchronous regime are considered depending on coefficients of non-linear mode coupling.

Key words: 
synchronization
mode competition
quasi-periodic oscillations
frequency locking
oscillation suppression
synchronization tongues
asynchronous excitation and suppression
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Received: 
13.01.2011
Accepted: 
31.03.2011
Published: 
29.07.2011
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