Topological Entropy of One Type of Nonoriented Lorenz-Type Maps
Constructing a Poincaré map is a method that is often used to study high-dimensional dynamical systems. In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. The topological entropy of one-dimensional nonoriented...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/6987471 |
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| _version_ | 1832564268453593088 |
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| author | Guo Feng |
| author_facet | Guo Feng |
| author_sort | Guo Feng |
| collection | DOAJ |
| description | Constructing a Poincaré map is a method that is often used to study high-dimensional dynamical systems. In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. The topological entropy of one-dimensional nonoriented Lorenz-type maps is also computed in terms of their kneading sequences. |
| format | Article |
| id | doaj-art-77366b8ad16b4fad874286be2e4c7b84 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-77366b8ad16b4fad874286be2e4c7b842025-02-03T01:11:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/69874716987471Topological Entropy of One Type of Nonoriented Lorenz-Type MapsGuo Feng0Basic Subject Department, Shandong Women’s University, Jinan 250300, ChinaConstructing a Poincaré map is a method that is often used to study high-dimensional dynamical systems. In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. The topological entropy of one-dimensional nonoriented Lorenz-type maps is also computed in terms of their kneading sequences.http://dx.doi.org/10.1155/2016/6987471 |
| spellingShingle | Guo Feng Topological Entropy of One Type of Nonoriented Lorenz-Type Maps Discrete Dynamics in Nature and Society |
| title | Topological Entropy of One Type of Nonoriented Lorenz-Type Maps |
| title_full | Topological Entropy of One Type of Nonoriented Lorenz-Type Maps |
| title_fullStr | Topological Entropy of One Type of Nonoriented Lorenz-Type Maps |
| title_full_unstemmed | Topological Entropy of One Type of Nonoriented Lorenz-Type Maps |
| title_short | Topological Entropy of One Type of Nonoriented Lorenz-Type Maps |
| title_sort | topological entropy of one type of nonoriented lorenz type maps |
| url | http://dx.doi.org/10.1155/2016/6987471 |
| work_keys_str_mv | AT guofeng topologicalentropyofonetypeofnonorientedlorenztypemaps |