| Title | A relation between entropy and transitivity of Anosov diffeomorphisms |
| Author | |
| Corresponding Author | Micena, Fernando Pereira |
| Publication Years | 2022-12-01
|
| DOI | |
| Source Title | |
| ISSN | 1079-2724
|
| EISSN | 1573-8698
|
| Abstract | It is known that transitive Anosov diffeomorphisms have a unique measure of maximal entropy (MME). Here we discuss the converse question. Transitivity of Anosov diffeomorphisms can be reached under suitable hypotheses on Lyapunov exponents on the set of periodic points and the structure of the MME. In another way, assuming together the uniqueness of MME and that every point is regular, in Oseledec's Theorem sense, also we can get the transitivity of Anosov diffeomorphisms in this setting. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| Funding Project | NNSFC[12071202]
; NSFC["11871262","11871394","12161141002","12250710130"]
|
| WOS Research Area | Automation & Control Systems
; Mathematics
|
| WOS Subject | Automation & Control Systems
; Mathematics, Applied
|
| WOS Accession No | WOS:000895025500001
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/417097 |
| Department | Department of Mathematics |
| Affiliation | 1.IMC UNIFEI, FPM Inst Matemat & Computacao, Itajuba, MG, Brazil 2.Southern Univ Sci & Technol China, Dept Math, JRH SUSTech Int Ctr Math, 1088, Xueyuan Rd, Xili, Shenzhen 518055, Guangdong, Peoples R China |
| Recommended Citation GB/T 7714 |
Micena, Fernando Pereira,Rodriguez-Hertz, Jana. A relation between entropy and transitivity of Anosov diffeomorphisms[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2022.
|
| APA |
Micena, Fernando Pereira,&Rodriguez-Hertz, Jana.(2022).A relation between entropy and transitivity of Anosov diffeomorphisms.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS.
|
| MLA |
Micena, Fernando Pereira,et al."A relation between entropy and transitivity of Anosov diffeomorphisms".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS (2022).
|
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