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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| Summary: | 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)≠∅. |
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| ISSN: | 1026-0226 1607-887X |