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.

引用

页码：4209 / 4216

页数：8

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