(Non-)expansivity in functional envelopes

被引：2

作者：

Das, Tarun ^{[1
]}

Shah, Ekta ^{[1
]}

Snoha, L'ubomir ^{[2
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Fac Sci, Dept Mathematics, Vadodara, India

[2] Matej Bel Univ, Fac Nat Sci, Dept Math, Banska Bystrica 97401, Slovakia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 410卷 / 02期

关键词：

Dynamical system; Functional envelope; Expansivity; Continuum-wise expansivity; ADMIT EXPANSIVE HOMEOMORPHISMS; CONTINUA; NONEXISTENCE; MANIFOLDS; TREE; PLANE;

D O I：

10.1016/j.jmaa.2013.08.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study expansivity in functional envelopes of dynamical systems. Our main result is that if the phase space of the original system contains an arc or if it contains a free infinite zero dimensional set, then the expansivity in the functional envelope with Hausdorff metric is impossible. This is in contrast with the fact that, when considering the uniform metric in functional envelopes, the expansivity of a system is equivalent with the expansivity of its functional envelope. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1043 / 1048

页数：6

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