Minimal dynamical system with given $D$-function and topological entropy
The $D$-function is a new topological invariant introduced by the author in [3] to classify the minimal dynamical system and to generalize Sharkovskii's theorem on the coexistence of periodic orbits. We show that the $D$-function and the topological entropy are independent.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5811 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512033066188800 |
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| author | Ye, Xiang dong Е, Сян Донг |
| author_facet | Ye, Xiang dong Е, Сян Донг |
| author_sort | Ye, Xiang dong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:17Z |
| description | The $D$-function is a new topological invariant introduced by the author in [3] to classify the minimal dynamical system and to generalize Sharkovskii's theorem on the coexistence of periodic orbits. We show that the $D$-function and the topological entropy are independent. |
| first_indexed | 2026-03-24T03:22:21Z |
| format | Article |
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| id | umjimathkievua-article-5811 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:22:21Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d5/b06265ec374b09c80515bca687736ed5.pdf |
| spelling | umjimathkievua-article-58112020-03-19T09:18:17Z Minimal dynamical system with given $D$-function and topological entropy Минимальная динамическая система с заданной $D$ -функцией и топологической энтропией Ye, Xiang dong Е, Сян Донг The $D$-function is a new topological invariant introduced by the author in [3] to classify the minimal dynamical system and to generalize Sharkovskii's theorem on the coexistence of periodic orbits. We show that the $D$-function and the topological entropy are independent. $D$-функція мінімальної множини — новий інваріант, запропонований автором [3] для класифікації мінімальних множин і розповсюдження на них теорем А. М. Шарковського про співіснування періодичних орбіт. Доведена незалежність $D$-функції та топологічної ентропії. Institute of Mathematics, NAS of Ukraine 1993-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5811 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 2 (1993); 287–292 Український математичний журнал; Том 45 № 2 (1993); 287–292 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5811/8305 https://umj.imath.kiev.ua/index.php/umj/article/view/5811/8306 Copyright (c) 1993 Ye Xiang dong |
| spellingShingle | Ye, Xiang dong Е, Сян Донг Minimal dynamical system with given $D$-function and topological entropy |
| title | Minimal dynamical system with given $D$-function and topological entropy |
| title_alt | Минимальная динамическая система с заданной $D$ -функцией и топологической энтропией |
| title_full | Minimal dynamical system with given $D$-function and topological entropy |
| title_fullStr | Minimal dynamical system with given $D$-function and topological entropy |
| title_full_unstemmed | Minimal dynamical system with given $D$-function and topological entropy |
| title_short | Minimal dynamical system with given $D$-function and topological entropy |
| title_sort | minimal dynamical system with given $d$-function and topological entropy |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5811 |
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