INTERMEDIATE LYAPUNOV EXPONENTS FOR SYSTEMS WITH PERIODIC ORBIT GLUING PROPERTY
文献类型：期刊论文
| 作者 | Tian, Xueting1; Wang, Shirou2,3; Wang, Xiaodong4 |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000449410800016 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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