Irina S. Dementyeva, Alexander P. Kuznetsov, Alexey V. Savin, Yuliya V. Sedova, “Quasiperiodic dynamics of three coupled logistic maps”, Nelin. Dinam., 2014, Volume 10, Number 2,Pages <nobr>139

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Quasiperiodic dynamics of three coupled logistic maps

Irina S. Dementyeva^a, Alexander P. Kuznetsov^ab, Alexey V. Savin^a, Yuliya V. Sedova^b

^a Saratov State University, Astrahanskaya 83, Saratov, 410012, Russia
^b Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov, 410019 Russia

Abstract: 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.

UDC: 517.9

MSC: 37L30,37E99

Received: 26.03.2014
Revised: 31.03.2014