Homoclinic shadowing and its application to chaotic systems

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	Homoclinic shadowing and its application to chaotic systems
	Li Xiliang 1; Li Xuemei 2; Zheng Zuohuan1
	2008-05-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	18 期号:5 页码:1363-1375
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.
关键词	chaos pseudo orbits shadowing exponential dichotomy transversal homoclinic points weakly periodic orbits
语种	英语
资助项目	NNSF of China[60671066]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000259154000005
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5375
专题	应用数学研究所
通讯作者	Li Xiliang
作者单位	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
推荐引用方式 GB/T 7714	Li Xiliang,Li Xuemei,Zheng Zuohuan. Homoclinic shadowing and its application to chaotic systems[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2008,18(5):1363-1375.
APA	Li Xiliang,Li Xuemei,&Zheng Zuohuan.(2008).Homoclinic shadowing and its application to chaotic systems.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,18(5),1363-1375.
MLA	Li Xiliang,et al."Homoclinic shadowing and its application to chaotic systems".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 18.5(2008):1363-1375.