Fixed Point Attractors of Dynamical Systems

被引：0

作者：

Ren Yunli ^{[1
]}

Lu Yulan ^{[2
]}

Lv Jinfeng ^{[1
]}

Chen Zuoli ^{[1
]}

机构：

[1] Hebei Normal Univ Sci & Technol, Coll Math & Informat Technol, Qinhuangdao 066004, Peoples R China

[2] Harbin Inst Technol, Harbin 150001, Peoples R China

来源：

2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年

关键词：

dynamical system; attractor; attracting fixed points; contraction map;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, after studying some properties of attracting fixed points, we focus on the conditions on which a fixed point becomes an attractor. And the results are as follows: (1) the fixed point of a system is an attractor when f is a contraction map of a locally compact metric space or an ultimate contraction map of a compact metric space; (2) with respect to one kind of weakly contraction map of a compact metric space, a necessary and sufficient condition of an attracting fixed point is provided.

引用

页码：1220 / 1223

页数：4

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