VARIOUS INVERSE SHADOWING IN LINEAR DYNAMICAL SYSTEMS

Title & Authors
VARIOUS INVERSE SHADOWING IN LINEAR DYNAMICAL SYSTEMS
Choi, Tae-Young; Lee, Keon-Hee;

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 $\small{{\mathbb{C}^n}}$, f has the $\small{{\tau}_h}$ inverse($\small{{\tau}_h-orbital}$ inverse or $\small{{\tau}_h-weak}$ inverse) shadowing property if and only if the matrix A is hyperbolic.
Keywords
Language
English
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