J. Korean Math. Soc. 1998; 35(2): 449-463
Printed June 1, 1998
Copyright © The Korean Mathematical Society.
Jong-Myung Kim, Young-Hee Kye, and Keon-Hee Lee
Kwandong University, Kosin University and Chungnam National University
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 $C^r$ diffeomorphisms) on Riemannian manifolds, and study the embedding problem of those concepts in $C^r$ dynamical systems.
Keywords: embedding, dynamical systems, orbital Lipschitz stability, exponential asymptotic stability
MSC numbers: 58F, 54H
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