INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY

doi:10.3934/dcds.2019042

	INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY
	Tian, Xueting 1; Wang, Shirou 2,3; Wang, Xiaodong 4
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2019-02-01
卷号	39 期号:2 页码:1019-1032
关键词	Shadowing specification property gluing orbit property asymptotically additive functions Lyapunov exponents
ISSN号	1078-0947
DOI	10.3934/dcds.2019042
英文摘要	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.
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
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000449410800016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31751]
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.