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http://dx.doi.org/10.14403/jcms.2012.25.2.235

LIMIT SHADOWING WITH $C^0$ TRANSVERSALITY CONDITION  

Lee, Keonhee (Department of Mathematics Chungnam University)
Lee, Manseob (Department of Mathematics Mokwon University)
Park, Junmi (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 235-239 More about this Journal
Abstract
Let $f$ be an Axiom A difeomorphism of a closed 2- dimensional smooth manifold M: We show that $f$ has the limit shadowing property if and only if $f$ satisfies the $C^0$ transversality condition.
Keywords
limit shadowing; Axiom A; $C^0$ transversality condition; hyperbolic;
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  • Reference
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