论文信息 - Study on the dynamical behaviors of a two-dimensional discrete system ☆

Study on the dynamical behaviors of a two-dimensional discrete system ☆

The generalized Ushiki map is investigated. It is theoretically proven that there are transcritical and flip bifurcations and there exists a chaotic phenomenon in the sense of Marotto. And numerical simulations not only show the consistency with the theoretical analysis but also exhibit the complex dynamical behaviors including the period-6, 5, 3 windows, intermittency mechanics, attractor merging crisis and boundary crisis. The computation of Lyapunov exponents conforms the dynamical behaviors.

Bing Liu | Bing Liu | Yinghui Gao | Yinghui Gao

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