arXiv:1101.1348 Abstract | arXiv Analytics

Published 2011-01-07, updated 2011-01-28Version 5

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

Comments: 8 pages

Categories: math.DS

Subjects: 37C20, 37C05, 37C29, 37D05

Keywords: homoclinic classes, shadowing property, hyperbolic basic set, generic diffeomorphisms

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