Periodic Points of Asymmetric Bernoulli Shifts
It is well-known that Sharkovskii’s theorem gives a complete structure of periodic order for a continuous self-map on a closed bounded interval. As a further study, a natural problem is how to determine the location and number of periodic points for a specific map. This paper considers the periodic...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1965479 |
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| _version_ | 1832546060984123392 |
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| author | Yong-Guo Shi Kai Chen Wei Liao |
| author_facet | Yong-Guo Shi Kai Chen Wei Liao |
| author_sort | Yong-Guo Shi |
| collection | DOAJ |
| description | It is well-known that Sharkovskii’s theorem gives a complete structure of periodic order for a continuous self-map on a closed bounded interval. As a further study, a natural problem is how to determine the location and number of periodic points for a specific map. This paper considers the periodic points of asymmetric Bernoulli shift, which is a piecewise linear chaotic map. |
| format | Article |
| id | doaj-art-5c5c953fb76c4f53a77ee66cbadcf5dc |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5c5c953fb76c4f53a77ee66cbadcf5dc2025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/19654791965479Periodic Points of Asymmetric Bernoulli ShiftsYong-Guo Shi0Kai Chen1Wei Liao2College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, Sichuan, ChinaCollege of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, ChinaIt is well-known that Sharkovskii’s theorem gives a complete structure of periodic order for a continuous self-map on a closed bounded interval. As a further study, a natural problem is how to determine the location and number of periodic points for a specific map. This paper considers the periodic points of asymmetric Bernoulli shift, which is a piecewise linear chaotic map.http://dx.doi.org/10.1155/2021/1965479 |
| spellingShingle | Yong-Guo Shi Kai Chen Wei Liao Periodic Points of Asymmetric Bernoulli Shifts Journal of Mathematics |
| title | Periodic Points of Asymmetric Bernoulli Shifts |
| title_full | Periodic Points of Asymmetric Bernoulli Shifts |
| title_fullStr | Periodic Points of Asymmetric Bernoulli Shifts |
| title_full_unstemmed | Periodic Points of Asymmetric Bernoulli Shifts |
| title_short | Periodic Points of Asymmetric Bernoulli Shifts |
| title_sort | periodic points of asymmetric bernoulli shifts |
| url | http://dx.doi.org/10.1155/2021/1965479 |
| work_keys_str_mv | AT yongguoshi periodicpointsofasymmetricbernoullishifts AT kaichen periodicpointsofasymmetricbernoullishifts AT weiliao periodicpointsofasymmetricbernoullishifts |