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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 2, Pages 139–148
(Mi nd431)
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This article is cited in 1 scientific paper (total in 1 paper)
Quasiperiodic dynamics of three coupled logistic maps
Irina S. Dementyevaa, Alexander P. Kuznetsovab, Alexey V. Savina, Yuliya V. Sedovab 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.
Received: 26.03.2014 Revised: 31.03.2014
Citation:
Irina S. Dementyeva, Alexander P. Kuznetsov, Alexey V. Savin, Yuliya V. Sedova, “Quasiperiodic dynamics of three coupled logistic maps”, Nelin. Dinam., 10:2 (2014), 139–148
Linking options:
https://www.mathnet.ru/eng/nd431 https://www.mathnet.ru/eng/nd/v10/i2/p139
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Abstract page: | 495 | Full-text PDF : | 86 | References: | 45 |
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