Topological Entropy and Special α -Limit Points of Graph Maps

Taixiang Sun, Guangwang Su, Hailan Liang and Qiuli He

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-7

Abstract:

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 ) ≠∅ .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:132985

DOI: 10.1155/2011/132985

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