Conley theory has proven to be a useful tool for the analysis of global dynamics.
Its power arises from the fact that the index provides information about the existence
and structure of dynamics, but remains constant as long as isolation is preserved.
In particular, it allows one to compute or model the dynamics using one - preferably
simple to understand - system and draw conclusions about the dynamics of other systems.
The motivation for the work discussed is that there are a variety of problems which arise in study of