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    Landau–Hopf scenario in the ensemble of interacting oscillators

    2012, Vol. 8, No. 5, pp.  863-873

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

    The conditions are discussed for which the ensemble of interacting oscillators may demonstrate Landau–Hopf scenario of successive birth of multi-frequency regimes. A model is proposed in the form of a network of five globally coupled oscillators, characterized by varying degree of excitement of individual oscillators. Illustrations are given for the birth of the tori of increasing dimension by successive quasi-periodic Hopf bifurcation.
    Keywords: synchronization, bifurcations, quasi-periodic dynamics, chaos
    Citation: Kuznetsov A. P., Turukina L. V., Kuznetsov S. P., Sataev I. R., Landau–Hopf scenario in the ensemble of interacting oscillators, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 5, pp.  863-873
    DOI:10.20537/nd1205001


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