SHADOWING AND DYNAMICAL SYNTHESIS

被引：6

作者：

Akhmet, M. U. ^{[1
,2
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 10期

关键词：

Dynamical synthesis; impulsive systems; hyperbolic sets; shadowing property; Devaney's ingredients; sensitivity; intermittency; SYSTEM; CHAOS; SETS;

D O I：

10.1142/S0218127409024797

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss a system with a discontinuity moments generator to obtain the solutions. It is proven that the system is chaotic and has shadowing property [Anosov, 1967; Bowen, 1975; Hammel et al., 1987; Robinson, 1995] if the generator possesses these characteristics. Illustrative examples are provided.

引用

页码：3339 / 3346

页数：8

共 16 条

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[5]

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[6]

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[7]

[Anonymous], SHADOWING DYNAMICAL

[8]

[Anonymous], 1967, P STEKLOV I MATH

[9]

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