Topological entropy for local processes

被引：6

作者：

Oprocha, Piotr ^{[1
,2
]}

Wilczynski, Pawel ^{[3
]}

机构：

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

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[3] Jagiellonian Univ, Dept Math, PL-30348 Krakow, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 08期

关键词：

Topological entropy; Local process; Isolating segments; Fixed point index; DISTRIBUTIONAL CHAOS; MAPS; INTERVAL; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.jde.2010.06.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to formalize definition of chaos (in terms of topological entropy) for dynamics of processes described by nonautonomous differential equations. We state a formal definition of topological entropy in this setting and provide tools for estimation of its value (its upper or lower bounds) in terms of Poincare sections. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1929 / 1967

页数：39

共 23 条

[1] TOPOLOGICAL ENTROPY [J].