Article ID Journal Published Year Pages File Type
4661350 Topology and its Applications 2007 11 Pages PDF
Abstract

We construct an additional operation of the external multiplication on the cohomological Conley index defined by Mrozek for discrete semidynamical systems. The construction is based on the notion of the Conley index over a phase space introduced by Szybowski. We show how to apply the external multiplication to solve the problem of continuation of two isolated invariant sets and illustrate it by an example.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology