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
收藏
页码：1220 / 1223
页数：4
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