Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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VARIOUS INVERSE SHADOWING IN LINEAR DYNAMICAL SYSTEMS

  • Choi, Tae-Young (Department of Mathematics Chungnam National University) ;
  • Lee, Keon-Hee (Department of Mathematics Chungnam National University)
  • Published : 2006.07.01
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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 ${\mathbb{C}^n}$, f has the ${\tau}_h$ inverse(${\tau}_h-orbital$ inverse or ${\tau}_h-weak$ inverse) shadowing property if and only if the matrix A is hyperbolic.

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References

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Cited by

  1. Relations between Shadowing and Inverse Shadowing in Dynamical Systems vol.8, pp.1, 2019, https://doi.org/10.3390/axioms8010011