V Robins et al 1998 Nonlinearity 11 913 doi:10.1088/0951-7715/11/4/009
V Robins, J D Meiss and E Bradley
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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.
54D05 Connected and locally connected spaces (general aspects)
54E45 Compact (locally compact) metric spaces
68U05 Computer graphics; computational geometry (See also 65D18)
Issue 4 (July 1998)
Received 7 October 1997
V Robins et al 1998 Nonlinearity 11 913
A Bäcker and N Chernov 1998 Nonlinearity 11 79
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