Two van der Pol-Duffing oscillators with Huygens coupling

V.N. Belykh, E. Pankratova, A.Y. Pogromsky

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

    Abstract

    We consider a system of two Van der Pol-Duffing oscillators with Huygens (speeding up) coupling. This system serves as appropriate model for Huygens synchronization of two mechanical clocks hanging from a common support. We examine the main regimes of complete and phase synchronization, and study the dependence of their onset on the initial conditions. In particular, we reveal co-existence of two chaotic phase synchronized modes and study the structure of their complicated riddled basins.
    Original languageEnglish
    Title of host publicationDynamics and control of hybrid dynamical systems
    EditorsG. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov
    Place of PublicationSingapore
    PublisherWorld Scientific
    Pages181-194
    ISBN (Print)978-981-4282-31-4
    Publication statusPublished - 2009

    Publication series

    NameWorld scientific series on nonlinear science. Series B
    Volume14

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