Topologically Stable Chain Recurrence Classes for Diffeomorphisms

被引：0
|
作者：
Lee, Manseob [1 ]
机构：
[1] Mokwon Univ, Dept Math, Daejeon 302729, South Korea
来源：
MATHEMATICS | 2020年 / 8卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
topologically stable; chain recurrence class; generic; hyperbolic; STABILITY;
D O I：
10.3390/math8111912
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f : M -> M be a diffeomorphism of a finite dimension, smooth compact Riemannian manifold M. In this paper, we demonstrate that if a diffeomorphism f lies within the C-1 interior of the set of all chain recurrence class-topologically stable diffeomorphisms, then the chain recurrence class is hyperbolic.
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页码：1 / 6
页数：6
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