Partial Hyperbolicity and Homoclinic Tangencies
classification
🧮 math.DS
keywords
diffeomorphismshomoclinicpartialapproximatedcompactdiffeomorphismexhibitinghaving
read the original abstract
We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.
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