Title of article
A note on the map with the whole space being a scrambled set Original Research Article
Author/Authors
Hui Wang، نويسنده , , Gongfu Liao، نويسنده , , Qinjie Fan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
3
From page
2400
To page
2402
Abstract
In this paper we prove that there is no compact system with the whole space being a Schweizer–Smital scrambled set and the Huang–Ye homeomorphism [W. Huang, X.D. Ye, Homeomorphisms with the whole compacta being scrambled sets, Ergod. Theory & Dynam. Systems 21 (2001) 77–91] has no Schweizer–Smital pair. Moreover, we present a simple noncompact system whose Schweizer–Smital scrambled set can be the whole space.
Keywords
Schweizer–Smital pair , Distal pair , Schweizer–Smital scrambled set
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860937
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