Exponential limit shadowing

被引:7
作者
Ahmadi, S. A. [1 ]
Molaei, M. R. [1 ]
机构
[1] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran
关键词
shadowing; hyperbolic set; Omega-stability; expansive map; DYNAMICAL-SYSTEMS;
D O I
10.4064/ap108-1-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that Omega-stability implies the exponential limit shadowing property.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 9 条
[1]  
[Anonymous], 1975, LECT NOTES MATH
[2]   Limit shadowing property [J].
Eirola, T ;
Nevanlinna, O ;
Pilyugin, SY .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (1-2) :75-92
[3]  
Jablonski W., 2006, ANN POL MATH, V88, P263
[4]   Various shadowing properties and their equivalence [J].
Lee, K ;
Sakai, K .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 13 (02) :533-540
[5]  
Pilyugin S. Yu., 1999, Lecture Notes in Math., V1706
[6]   Sets of dynamical systems with various limit shadowing properties [J].
Pilyugin, Sergei Yu. .
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (03) :747-775
[7]   Shadowing properties of L-hyperbolic homeomorphisms [J].
Sakai, K .
TOPOLOGY AND ITS APPLICATIONS, 2001, 112 (03) :229-243
[9]   The chain recurrent set for maps of compacta [J].
Yokoi, Katsuya .
ANNALES POLONICI MATHEMATICI, 2007, 92 (02) :123-131