On topological entropy of commuting interval maps

被引：10

作者：

Cánovas, JS

Linero, A

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 30203, Spain

[2] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 07期

关键词：

topological entropy; one-dimensional dynamics; commuting interval maps; periodic orbits;

D O I：

10.1016/S0362-546X(01)00885-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The discrete dynamical system generated by the composition of two maps was discussed. It was assumed the maps f and g commuted and f ο g = g ο f. The analysis showed that hA( f ο g ) ≠ hA(g ο f) for suitable maps f and g where hA(f) denotes the topological sequence entropy of f with respect to the increasing sequence of positive integers A.

引用

页码：1159 / 1165

页数：7

共 15 条

[1]

Alseda L., 1993, Combinatorial Dynamics and Entropy in Dimension One

[2] Commutativity and non-commutativity of topological sequence entropy [J].