Continuation to gradient flows
At first of this interesting paper, background definitions and results from the theory of the Conley index are recalled. Then the author proves that any isolated invariant set of a smooth flow on a manifold can be continued to an isolated invariant set of a gradient flow. Remaining part of the paper deals with the attractor-repeller pairs, Morse decompositions, index filtration and boundary map for attractor-repeller pairs.
scientific article; zbMATH DE number 58547