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VARIOUS INVERSE SHADOWING IN LINEAR DYNAMICAL SYSTEMS

In this paper, we give a characterization of hyperbolic linear dynamical systems via the notions of various inverse shadow- ing. More precisely it is proved that for a linear dynamical system f(x) = Ax of C n , f has the Th-inverse(Th-orbital inverse or Th- weak inverse) shadowing property if and only if the matrix A is hyperbolic.