Random periodic solutions of random dynamical systems

doi:10.1016/j.jde.2008.10.011

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	Random periodic solutions of random dynamical systems
	Zhao, Huaizhong 1; Zheng, Zuo-Huan1,2
	2009-03-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	246 期号:5 页码:2020-2038
摘要	In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a C(1) perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle. (c) 2008 Elsevier Inc. All rights reserved.
关键词	Random periodic solution Perfect cocycle Random dynamical system Invariant set Lyapunov exponent
DOI	10.1016/j.jde.2008.10.011
语种	英语
资助项目	NSF of China[10371123] ; National 973 Project[2005 C13 321902] ; Royal Society London ; Chinese Academy of Sciences ; EPSRC (UK)[CR/R69518]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000263759500013
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8232
专题	应用数学研究所
通讯作者	Zhao, Huaizhong
作者单位	1.Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Huaizhong,Zheng, Zuo-Huan. Random periodic solutions of random dynamical systems[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(5):2020-2038.
APA	Zhao, Huaizhong,&Zheng, Zuo-Huan.(2009).Random periodic solutions of random dynamical systems.JOURNAL OF DIFFERENTIAL EQUATIONS,246(5),2020-2038.
MLA	Zhao, Huaizhong,et al."Random periodic solutions of random dynamical systems".JOURNAL OF DIFFERENTIAL EQUATIONS 246.5(2009):2020-2038.