International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 25-28, Pages 1397-1401
doi:10.1155/S0161171204202125

On Conley's fundamental theorem of dynamical systems

M.R. Razvan

Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran

Abstract

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.