Attractor

The following definition is a modification to this setting of that given by Conley [2,3] for flows on compact metric spaces.

Definition: A set Attractor1.jpg is an attractor for Attractor2.jpg if

Some authors would call Attractor7.jpg an "attracting set" and would reserve the name "attractor" for an attracting set with further properties. However, in this paper Conley's terminology will be followed.


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Copyright (c) 1998 by Richard McGehee, all rights reserved.
Last modified: July 31, 1998.