Forced synchronization of two coupled van der Pol self-oscillators

    2011, Vol. 7, No. 3, pp.  411-425

    Author(s): Kuznetsov A. P., Sataev I. R., Turukina L. V.

    The problem of external driving by the harmonic signal of two coupled self-oscillators is investigated. Comparison with the synchronization picture for phase oscillators is given. We discuss the configuration of periodic, two- and three-frequency regimes in the parameter space of external signal. The illustrations of three-frequency tori and resonance two-frequency tori are given. A number of significant differences from the bifurcation mechanisms for the destruction of synchronization are found compared with the case of phase oscillators.
    Keywords: synchronization, bifurcations, quasi-periodic dynamics, chaos
    Citation: Kuznetsov A. P., Sataev I. R., Turukina L. V., Forced synchronization of two coupled van der Pol self-oscillators, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 3, pp.  411-425

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