Newhouse phenomenon and homoclinic classes
classification
🧮 math.DS
math.GT
keywords
classhomoclinicsourcesaccumulatedawaychainclassescontains
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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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