Homoclinic shadowing and its application to chaotic systems

被引：2
作者：
Li Xiliang [1 ]
Li Xuemei [2 ]
Zheng Zuohuan [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 05期
关键词：
chaos; pseudo orbits; shadowing; exponential dichotomy; transversal homoclinic points; weakly periodic orbits;
D O I：
10.1142/S021812740802104X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In our paper, by using shadowing techniques, we develop a general method for establishing the existence of a transversal homoclinic orbit to a periodic orbit of C-Lip(1) diffeomorphisms in R-n which implies the occurrence of chaos.
引用
收藏
页码：1363 / 1375
页数：13
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