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A characterization of zero topological entropy for a class of triangular mappings
Journal article   Open access  Peer reviewed

A characterization of zero topological entropy for a class of triangular mappings

Juan Luis García Guirao and Jacek Chudziak
Journal of mathematical analysis and applications, Vol.287(2), pp.516-521
15/11/2003
DOI: https://doi.org/10.1016/S0022-247X(03)00566-3

Abstract

Chaos Discrete dynamical system ECIT-89: European Conference on Iteration Theory held in Batschuns, Austria, 1989 Recurrent and uniformly recurrent points Topological entropy Triangular mappings
Sharkovskiı̆ 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 mappings with basis map having closed set of periodic points.
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https://doi.org/10.1016/S0022-247X(03)00566-3View
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