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

For citation:

Pankratova E. V., Belykh V. N. Qualitative and numerical analysis of possible synchronous regimes for two inertially coupled van der Pol oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 4, pp. 25-39. DOI: 10.18500/0869-6632-2011-19-4-25-39

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-2011-19-4-25-39

Qualitative and numerical analysis of possible synchronous regimes for two inertially coupled van der Pol oscillators

Autors: 
Pankratova Evgenija Valerevna, Volga State Academy of Water Transport (VGAVT)
Belykh Vladimir Nikolaevich, Volga State Academy of Water Transport (VGAVT)
Abstract: 

We consider a mechanical system consisting of two controlled masses that are attached to a movable platform via springs. We assume that at the absence of interaction the oscillations of both masses are described by the van der Pol equations. In this case, different modes of synchronous behavior of the masses are observed: in-phase (complete), anti-phase and phase locking. By the methods of qualitative and numerical analysis, the boundaries of the stability domains of these regimes are obtained.

Key words: 
Sinchronization
attractors
van der Pol equations
control input
Reference: 
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Received: 
22.02.2011
Accepted: 
22.02.2011
Published: 
30.09.2011
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