Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications

CSpace > 应用数学研究所

	Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications
	Zheng, ZH; Xia, J ; Zheng, ZM
	2006-03-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	14 期号:3 页码:409-417
摘要	It has been established one-side uniform convergence in both the Birkhoff and sub-additive ergodic theorems under conditions on growth rates with respect to all the invariant measures. In this paper we show these conditions are both necessary and sufficient. These results are applied to study quasiperiodically forced systems. Some meaningful geometric properties of invariant sets of such systems are presented. We also show that any strange compact invariant set of a C-1 quasiperiodically forced system must support an invariant measure with a non-negative normal Lyapunov exponent.
关键词	ergodic theorems strange attractors quasiperiodically forced systems
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000232550200003
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2627
专题	应用数学研究所
通讯作者	Zheng, ZH
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Beihang Univ, Sch Sci, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Zheng, ZH,Xia, J,Zheng, ZM. Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2006,14(3):409-417.
APA	Zheng, ZH,Xia, J,&Zheng, ZM.(2006).Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,14(3),409-417.
MLA	Zheng, ZH,et al."Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14.3(2006):409-417.