Title of article :
A characterization of zero topological entropy for
a class of triangular mappings ✩
Author/Authors :
Juan Luis Garc?a Guirao، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2003
Abstract :
Sharkovski˘ı 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.
2003 Elsevier Inc. All rights reserved
Keywords :
Chaos , Recurrent and uniformly recurrent points , ECIT-89: European Conference on Iteration Theory held in Batschuns , Austria , 1989 , Discretedynamical system , Triangular mappings , Topological entropy
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
