On Synchronization of Quasiperiodic Oscillations

    Received 11 May 2018; accepted 19 May 2018

    2018, Vol. 14, no. 3, pp.  367-376

    Author(s): Morozov A. D., Morozov K. E.

    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
    Citation: Morozov A. D., Morozov K. E., On Synchronization of Quasiperiodic Oscillations, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 3, pp.  367-376
    DOI:10.20537/nd180307


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