| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843050 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
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.
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Authors
Yinghui Gao, Bing Liu,