On ω-limit sets of non-autonomous discrete systems

被引：25

作者：

Cánovas, JS ^{[1
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Murcia 30203, Spain

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2006年 / 12卷 / 01期

关键词：

omega-limit set; non-autonomous systems; dynamical systems;

D O I：

10.1080/10236190500424274

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider sequences of continuous maps defined on a compact metric space which uniformly converges to a continuous map f . We study the relationship between the omega-limit sets of f 1,infinity and f .

引用

页码：95 / 100

页数：6

共 12 条

[1]

Aoki N., 1994, Topological Theory of Dynamical Systems

[2] The space of omega-limit sets of a continuous map of the interval [J].

Blokh, A ;

Bruckner, AM ;

Humke, PD ;

Smital, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (04) :1357-1372

[3] PSEUDO-ORBIT SHADOWING IN THE FAMILY OF TENT MAPS [J].

COVEN, EM ;

KAN, I ;

YORKE, JA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (01) :227-241

[4]

Edgar G.A, 1990, Measure, Topology, and Fractal Geometry

[5] Limit shadowing property [J].

Eirola, T ;

Nevanlinna, O ;

Pilyugin, SY .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (1-2) :75-92

[6] SHADOWING PROPERTY OF CONTINUOUS-MAPS [J].

GEDEON, T ;

KUCHTA, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) :271-281

[7] On Ω-limit sets of discrete-time dynamical systems [J].

Kempf, R .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (12) :1121-1131

[8] ON TOPOLOGICAL DYNAMICS OF SEQUENCES OF CONTINUOUS-MAPS [J].

KOLYADA, S ;

SNOHA, L .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (05) :1437-1438

[9]

Kolyada S., 1996, Random and Computational Dynamics, V4, P205

[10] SHADOWING PROPERTY OF CONTINUOUS-MAPS WITH ZERO TOPOLOGICAL-ENTROPY [J].

KUCHTA, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (02) :641-648

← 1 2 →