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ArticleOriginal scientific text

Title

A note on generic chaos

Authors 1

Affiliations

  1. Department of Mathematics, Jilin University, Changchun, Jilin, People's Republic of China

Abstract

We consider dynamical systems on a separable metric space containing at least two points. It is proved that weak topological mixing implies generic chaos, but the converse is false. As an application, some results of Piórek are simply reproved.

Keywords

ENG
metric space, dynamical system, topological mixing, generic chaos

Bibliography

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Annales Polonici Mathematici
1994/59/2
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Pages:
99-105
Main language of publication
English
Received
1993-01-04
Accepted
1993-04-20
Published
1994
Exact and natural sciences