Open AccessTopological Entropy and Specialα
Author(s) -
Taixiang Sun,
Guangwang Su,
Hailan Liang,
Qiuli He
Publication year - 2011
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2011/132985
Subject(s) - algorithm , artificial intelligence , computer science
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) ≠ ∅ . Copyright © 2011 Taixiang Sun et al.
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