Newhouse phenomenon and homoclinic classes

Details Newhouse phenomenon and homoclinic classes Newhouse phenomenon and homoclinic classes

2007-12-04

arxiv.org/abs/0712.0513v1

Mathematics

Dynamical Systems

Scientific paper

We show that for a $C^1$ residual subset of diffeomorphisms far away from
tangency, every non-trivial chain recurrent class that is accumulated by
sources ia a homoclinic class contains periodic points with index 1 and it's
the Hausdorff limit of a family of sources.

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