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

For citation:

Turukina L. V., Chernyshov N. Y. Synchronization of reactively coupled phase oscillators driven by external force. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 81-90. DOI: 10.18500/0869-6632-2012-20-1-81-90

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2012-20-1-81-90

Synchronization of reactively coupled phase oscillators driven by external force

Autors: 
Turukina L. V., Saratov State University
Chernyshov Nikolaj Yurevich, Saratov State University
Abstract: 

Synchronization of two reactively coupled van der Pol oscillators with external force is investigated in this paper. We consider and compare quasi-periodic motion of oscillators with frequency-locked mode. The paper includes maps of Lyapunov’s exponents, twoparametric bifurcation diagrams and phase portraits. Possible types of motion in driven system are discussed.

Key words: 
synchronization
phase oscillators
quasi-periodicity
Reference: 
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Received: 
10.01.2012
Accepted: 
10.01.2012
Published: 
20.04.2012
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