Oprea, J. and Walsh, J. (2002) Quotient Maps, Group Actions and Lusternik-Schnirelmann Category. Topology and its Applications, 117, 285-305. http://dx.doi.org/10.1016/S0166-8641(01)00021-9

has been cited by the following article:

• TITLE: Category of Attractor and Its Application

  AUTHORS: Jinying Wei, Yongjun Li, Mansheng Li

  KEYWORDS: Ljusternik-Schnirelmann Category, Attractor, Attraction Basin

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.7, June 30, 2015

  ABSTRACT: 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.