Nonlinearity 11 (1998) 913-922.
Abstract
We reformulate the notion of connectedness for compact metric spaces in a manner that may be implemented computationally. In particular, our techniques can distinguish between sets that are connected; have a finite number of connected components; have infinitely many connected components; or are totally disconnected. We hope that this approach will prove useful for studying structures in the phase space of dynamical systems.
AMS classification scheme numbers: 54D05, 58F13, 68U05.