Title of article
A simple proof for persistence of snap-back repellers
Author/Authors
Li، نويسنده , , Ming-Chia and Lyu، نويسنده , , Ming-Jiea Lyu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
3
From page
669
To page
671
Abstract
In this article, we show that if f has a snap-back repeller then any small C 1 perturbation of f has a snap-back repeller, and hence has Li–Yorke chaos and positive topological entropy, by simply using the implicit function theorem. We also give some examples.
Keywords
Implicit function theorem , Snap-back repeller , Li–Yorke chaos , Topological entropy
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559834
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