Regions of instability for non-twist maps

@inproceedings{Franks2003RegionsOI,
  title={Regions of instability for non-twist maps},
  author={John Franks and Patrice Le Calvez},
  year={2003}
}
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 analogous to those of classical regions of instability are proved. We write T 1 for the one dimensional torus and A = T 1 ×R for the infinite annulus. We note N (resp. S) the upper (resp. lower) end of A and A the end compactifica-tion of A which is a topological sphere, i.e., a topological set homeomorphic to the two… CONTINUE READING

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