Title :
Fixed point attractors of dynamical systems
Author :
Ren Yunli ; Lu Yulan ; Lv Jinfeng ; Chen Zuoli
Author_Institution :
Coll. of Math. & Inf. Technol., Hebei Normal Univ. of Sci. & Technol., Qinhuangdao, China
Abstract :
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 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.
Keywords :
fixed point arithmetic; set theory; attracting fixed point; dynamical systems; fixed point attractors properties; locally compact metric space; necessary condition; sufficient condition; ultimate contraction map; weakly contraction map; Chaos; Educational institutions; Electronic mail; Extraterrestrial measurements; Space vehicles; attracting fixed points; attractor; contraction map; dynamical system;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
