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TRANSITIVE SETS WITH DOMINATED SPLITTING

Lee, Manseob (Department of Mathematics Mokwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.1, 2010 , pp. 65-71 More about this Journal

Abstract

Let $\Lambda$ be a transitive set for f. In this paper, we show that if a f-invariant set $\Lambda$ has the $C^{1}$ -stably shadowing property, then $\Lambda$ admits a dominated splitting.

Keywords

shadowing; dominated splitting; transitive set;

Citations & Related Records

Reference

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