Quasiperiodic dynamics of three coupled logistic maps

Dementyeva I. S.; Kuznetsov A. P.; Savin A. V.; Sedova Y. V.

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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