Various inverse shadowing in linear dynamical systems
Commun. Korean Math. Soc. 2006 Vol. 21, No. 3, 515-526
Printed September 1, 2006
Taeyoung Choi, Keonhee Lee
Chungnam National University, Chungnam National University
Abstract : In this paper, we give a characterization of hyperbolic linear dynamical systems via the notions of various inverse shadowing. More precisely it is proved that for a linear dynamical system $f(x)=Ax$ of $\C^n$, $f$ has the $\T_h$-inverse($\T_h$-orbital inverse or $\T_h$-weak inverse) shadowing property if and only if the matrix $A$ is hyperbolic.
Keywords : inverse shadowing, weak inverse shadowing, orbital inverse shadowing, hyperbolicity
MSC numbers : Primary 37C50; Secondary 37D20
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