Homoclinic classes with shadowing property

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arxiv 1101.1348 v5 pith:BVCNEHIP submitted 2011-01-07 math.DS

Manseob Lee This is my paper

classification math.DS

keywords homoclinicclassbasicclassesdiffeomorphismsgenerichyperbolicisolated

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We show that for $C^1$ generic diffeomorphisms, an isolated homoclinic class is shadowable if and only if homoclinic class is hyperbolic basic set.