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http://dx.doi.org/10.14403/jcms.2013.26.2.309

LINEAR DIFFEOMORPHISMS WITH LIMIT SHADOWING  

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.26, no.2, 2013 , pp. 309-313 More about this Journal
Abstract
In this paper, we show that for a linear dynamical system $f(x)=Ax$ of $\mathbb{C}^n$, $f$ has the limit shadowing property if and only if the matrix A is hyperbolic.
Keywords
hyperbolic; limit shadowing; shadowing; Jordan form;
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  • Reference
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