Quasiperiodic dynamics of three coupled logistic maps


    2014, Vol. 10, No. 2, pp.  139-148

    Author(s): Dementyeva I. S., Kuznetsov A. P., Savin A. V., Sedova Y. V.

    The model of three linear-coupled logistic maps is examined. The structure of parameter plane (coupling value—period-doubling parameter) is discussed. We select configuration of coupling and parameters so, that regimes of three-frequency quasiperiodicity become possible. Also we consider bifurcations associated with such states.
    Keywords: quasiperiodic oscillations, invariant tori, bifurcations
    Citation: Dementyeva I. S., Kuznetsov A. P., Savin A. V., Sedova Y. V., Quasiperiodic dynamics of three coupled logistic maps, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 2, pp.  139-148
    DOI:10.20537/nd1402001


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