A characterization of zero topological entropy for a class of triangular mappings
[摘要] Sharkovskii and Kolyada (1991) stated the problem of characterization triangular mappings having zero topological entropy. It is known that, even under some additional assumptions, this aim has not been reached. We solve this problem in the class of triangular mapping, with basis map having closed set of periodic points. (C) 2003 Elsevier Inc. All rights reserved.
[发布日期] 2003-11-15 [发布机构]
[效力级别] [学科分类]
[关键词] ECIT-89;European Conference on Iteration Theory held in Batschuns, Austria, 1989;discrete dynamical system;triangular mappings;topological entropy;chaos;recurrent and uniformly recurrent points [时效性]
