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

被引：4
|
作者：
Gao, Yinghui [1 ,2 ,3 ]
Liu, Bing [4 ]
机构：
[1] Beihang Univ, Dept Math, Beijing 100083, Peoples R China
[2] Beihang Univ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China
[3] Peking Univ, Minist Educ, Beijing, Peoples R China
[4] Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Generalized Ushiki map; Bifurcation; Marotto chaos; Intermittency; Crisis; CHAOTIC ATTRACTOR TRANSITIONS; SNAP-BACK-REPELLER; UNIVERSALITY;
D O I：
10.1016/j.na.2008.09.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：4209 / 4216
页数：8
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