%0 Journal Article
%T Category of Attractor and Its Application
%A Jinying Wei
%A Yongjun Li
%A Mansheng Li
%J Journal of Applied Mathematics and Physics
%P 725-729
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.37086
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">In this paper, we provide a new approach to
study the geometry of attractor. By applying category, we investigate the
relationship between attractor and its attraction basin. In a complete metric
space, we prove that the categories of attractor and its attraction basin are
always equal. Then we apply this result to both autonomous and non-autonomous
systems, and obtain a number of corresponding results.</span> 
</p>
%K Ljusternik-Schnirelmann Category
%K Attractor
%K Attraction Basin
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57564