[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.4.617

DIFFEOMORPHISMS WITH THE STABLY ASYMPTOTIC AVERAGE SHADOWING PROPERTY

Lee, Manseob (Department of Mathematics Mokwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 617-623 More about this Journal

Abstract

Let p be a hyperbolic periodic point of f, and let ${\Lambda}(p)$ be a closed set which containing p. In this paper, we show that $C^1$ -generically, if $f{\mid}_{{\Lambda}(p)}$ has the $C^1$ -stably asymptotic average shadowing property, then it admits a dominated splitting.

Keywords

asymptotic average shadowing; shadowing; dominated splitting; chain transitive;

Citations & Related Records

Reference

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