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math.DS1999
Shift Equivalence and the Conley index
John Franks, David Richeson
In this paper we introduce filtration pairs for isolated invariant sets of continuous maps. We prove the existence of filtration pairs and show that, up to shift equivalence, the i…
math.DS1999
Regions of instability for non-twist maps
John Franks, Patrice Le Calvez
In this paper we consider an analog of the regions of instability for twist maps in the context of area preserving diffeomorphisms which are not twist maps. Several properties anal…