Codimension one generic homoclinic classes with interior

Details Codimension one generic homoclinic classes with interior Codimension one generic homoclinic classes with interior

2008-06-18

arxiv.org/abs/0806.3036v3

Mathematics

Dynamical Systems

12 pages, Some corrections

Scientific paper

We study generic diffeomorphisms with a homoclinc class with non empty
interior and in particular those admitting a codimension one dominated
splitting. We prove that if in the finest dominated splitting the extreme
subbundles are one dimensional then the diffeomorphism is partially hyperbolic
and from this we deduce that the diffeomorphism is transitive.

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