Razvan, M. R. On Conley’s fundamental theorem of dynamical systems. (English) Zbl 1068.37008 Int. J. Math. Math. Sci. 2004, No. 25-28, 1397-1401 (2004). Summary: We generalize Conley’s fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of a regular index filtration for every Morse decomposition. Cited in 3 Documents MSC: 37B30 Index theory for dynamical systems, Morse-Conley indices 37B25 Stability of topological dynamical systems 37B35 Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems Keywords:Lyapunov function; isolated invariant set; Conley index theory; Morse decomposition PDFBibTeX XMLCite \textit{M. R. Razvan}, Int. J. Math. Math. Sci. 2004, No. 25--28, 1397--1401 (2004; Zbl 1068.37008) Full Text: DOI arXiv EuDML