Topological Entropy and Special α-Limit Points of Graph Maps
Let G a graph and f:G→G be a continuous map. Denote by h(f), R(f), and SA(f) the topological entropy, the set of recurrent points, and the set of special α-limit points of f, respectively. In this paper, we show that h(f)>0 if an...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/132985 |
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| _version_ | 1832565725021077504 |
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| author | Taixiang Sun Guangwang Su Hailan Liang Qiuli He |
| author_facet | Taixiang Sun Guangwang Su Hailan Liang Qiuli He |
| author_sort | Taixiang Sun |
| collection | DOAJ |
| description | Let G a graph and
f:G→G be a continuous map. Denote by
h(f), R(f), and SA(f) the topological entropy, the set of recurrent points, and the set of special
α-limit points of
f, respectively. In this paper, we show that h(f)>0 if and only if SA(f)-R(f)≠∅. |
| format | Article |
| id | doaj-art-842d4cf454d84a8d804689e3913a49c6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-842d4cf454d84a8d804689e3913a49c62025-02-03T01:06:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/132985132985Topological Entropy and Special α-Limit Points of Graph MapsTaixiang Sun0Guangwang Su1Hailan Liang2Qiuli He3College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaLet G a graph and f:G→G be a continuous map. Denote by h(f), R(f), and SA(f) the topological entropy, the set of recurrent points, and the set of special α-limit points of f, respectively. In this paper, we show that h(f)>0 if and only if SA(f)-R(f)≠∅.http://dx.doi.org/10.1155/2011/132985 |
| spellingShingle | Taixiang Sun Guangwang Su Hailan Liang Qiuli He Topological Entropy and Special α-Limit Points of Graph Maps Discrete Dynamics in Nature and Society |
| title | Topological Entropy and Special α-Limit Points of Graph Maps |
| title_full | Topological Entropy and Special α-Limit Points of Graph Maps |
| title_fullStr | Topological Entropy and Special α-Limit Points of Graph Maps |
| title_full_unstemmed | Topological Entropy and Special α-Limit Points of Graph Maps |
| title_short | Topological Entropy and Special α-Limit Points of Graph Maps |
| title_sort | topological entropy and special α limit points of graph maps |
| url | http://dx.doi.org/10.1155/2011/132985 |
| work_keys_str_mv | AT taixiangsun topologicalentropyandspecialalimitpointsofgraphmaps AT guangwangsu topologicalentropyandspecialalimitpointsofgraphmaps AT hailanliang topologicalentropyandspecialalimitpointsofgraphmaps AT qiulihe topologicalentropyandspecialalimitpointsofgraphmaps |