Geodesic
On Synchronization of Quasiperiodic Oscillations
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 3, pp. 367-376.

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We study the role of quasi-periodic perturbations in systems close to two-dimensional Hamiltonian ones. Similarly to the problem of the influence of periodic perturbations on a limit cycle, we consider the problem of the passage of an invariant torus through a resonance zone. The conditions for synchronization of quasi-periodic oscillations are established. We illustrate our results using the Duffing –Van der Pol equation as an example.
Keywords: resonances, quasi-periodic, periodic, synchronization, averaged system, phase curves, equilibrium states. 
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A. D. Morozov; K. E. Morozov. On Synchronization of Quasiperiodic Oscillations. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 3, pp. 367-376. http://geodesic.mathdoc.fr/item/ND_2018_14_3_a6/

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