A Class of Hyperspace Systems and Distributional Chaos

被引：0

作者：

Wang Wei ^{[1
]}

Zhu Xiaogang ^{[2
]}

机构：

[1] Jilin Agr Univ, Informat Technol Coll, Changchun 130118, Peoples R China

[2] Inst Changchun Engn Technol, Changchun 130117, Peoples R China

来源：

APPLIED MECHANICS, MATERIALS AND MANUFACTURING IV | 2014年 / 670-671卷

关键词：

constant-length substitution; subshift; hyperspace system; distributional chaos;

D O I：

10.4028/www.scientific.net/AMM.670-671.1570

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Research on dynamical system has penetrated into many problems of agricultural production, such as prediction of corn yield, analysis on operational situation of irrigation district and research on ecological difference equation. In this paper, we investigated dynamical properties for non-primitive substitution and the set-valued maps induced by the substitution. We proved In two cases that the hyperspace systems induced by non-primitive substitution are not distributional chaotic.

引用

页码：1570 / 1572

页数：3

共 8 条

[1] The three versions of distributional chaos [J].

Balibrea, F ;

Smítal, J ;

Stefánková, M .

CHAOS SOLITONS & FRACTALS, 2005, 23 (05) :1581-1583

[2]

Chu Z Y, 2013, J DALIAN NATL U, V15, P60

[3]

Liao G., 2013, MAPPING ITERATION CH

[4]

Liao G F, 2009, CHINESE J CONT MATH, V30, P133

[5] Relations between mixing and distributional chaos [J].

Liao, Gongfu ;

Chu, Zhenyan ;

Fan, Qinjie .

CHAOS SOLITONS & FRACTALS, 2009, 41 (04) :1994-2000

[6]

Ma Xiaosong, 2006, THESIS

[7] Distributional chaos in constant-length substitution systems [J].

Wang, Hui ;

Fan, Qinjie ;

Liao, Gongfu .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1902-1908

[8]

Zhou Zuoling, 1997, SYMBOL DYNAMICAL SYS

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