Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ORBITAL LIPSCHITZ STABILITY AND EXPONENTIAL ASYMPTOTIC STABILITY IN DYNAMICAL SYSTEMS

  • Kim, Jong-Myung (Department of Mathematics Education Kwandong University) ;
  • Kye, Young-Hee (Department of Computational Mathematics Kosin University) ;
  • Lee, Keon-Hee (Department of Mathematics Chungnam National University)
  • Published : 1998.05.01
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Abstract

In this paper we introduce the notions of orbital Lipschitz stability (in variation) and orbital exponential asymptotic stability (in variation) of $C^{r}$ dynamical systems (or $C^{r}$ diffeomor-phisms) on Riemannian manifolds, and study the embedding problem of those concepts in $C^{r}$ dynamical systems.stems.

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