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Pankratova E. V., Belyh 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:


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

Pankratova Evgenija Valerevna, Volga State Academy of Water Transport (VGAVT)
Belyh Vladimir Nikolaevich, Volga State Academy of Water Transport (VGAVT)

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, di?erent 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.

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