[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.4.11

STABLY PERIODIC SHADOWING AND DOMINATED SPLITTING

Lee, Keonhee (Department of Mathematics Chungnam University)
Lee, Manseob (Department of Mathematics Mokwon University)
Ahn, Jiweon (Department of Mathematics Chungnam University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 735-743 More about this Journal

Abstract

Let f be a diffeomorphism of a closed n-dimensional smooth manifold. In this paper, we introduce the notion of $C^1$ -stably periodic shadowing property for a closed f-invariant set, and prove that for a transitive set ${\Lambda}$ , if f has the $C^1$ -stably periodic shadowing property on ${\Lambda}$ , then ${\Lambda}$ admits a dominated splitting.

Keywords

periodic shadowing property; $C^1$ -stably periodic shadowing property; pre-sink; pre-source; dominated splitting;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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