Li, D.S. (2010) Morse Theory of Attractors for Infinite Dimensional Dynamical Systems via Lyapunov Functions. arXiv:1003.0305v1 [math.DS] 1 Mar 2010. http://arxiv.org/pdf/1003.0305.pdf

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.