INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY

doi:10.3934/dcds.2019042

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	INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY
	Tian, Xueting 1; Wang, Shirou 2,3; Wang, Xiaodong 4
	2019-02-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	39 期号:2 页码:1019-1032
摘要	We prove that the average Lyapunov exponents of asymptotically additive functions have the intermediate value property provided the dynamical system has the periodic gluing orbit property. To be precise, consider a continuous map f : X -> X over a compact metric space X and an asymp- totically additive sequence of functions Phi = {phi(n) : X -> R}(n >= 1). If f has the periodic gluing orbit property, then for any constant a satisfying inf(mu is an element of Minv(f,X)) chi Phi(mu) < a < sup (mu is an element of Minv(f,X)) chi Phi(mu) where chi Phi(mu) = lim inf(n ->infinity) integral 1/n phi(n)d mu, and the infimum and supremum are taken over the set of all f-invariant probability measures, there is an ergodic measure it mu(a) is an element of M-inv (f, X) such that chi Phi(mu(a)) = a and supp(mu) = X.
关键词	Shadowing specification property gluing orbit property asymptotically additive functions Lyapunov exponents
DOI	10.3934/dcds.2019042
语种	英语
资助项目	NSFC[11771026] ; NSFC[11471344] ; NSFC[11671093] ; NSFC[11701366] ; PIMS CRG grant ; China Postdoctoral Science Foundation[2016M601575] ; China Postdoctoral Science Foundation[BX201600105] ; Shanghai Sailing Program[17YF1409300] ; PIMS PTCS grant
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000449410800016
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31752
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Xiaodong
作者单位	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
推荐引用方式 GB/T 7714	Tian, Xueting,Wang, Shirou,Wang, Xiaodong. INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2019,39(2):1019-1032.
APA	Tian, Xueting,Wang, Shirou,&Wang, Xiaodong.(2019).INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(2),1019-1032.
MLA	Tian, Xueting,et al."INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.2(2019):1019-1032.