CHARACTERIZATIONS ON CHAIN RECURRENCES

Title & Authors
CHARACTERIZATIONS ON CHAIN RECURRENCES
Park, Jong-Suh; Ku, Se-Hyun;

Abstract
It is well known that there is a residual subset J of the space of $\small{C^1}$-diffeomorphisms on a compact Riemannian manifold M such that the maps f $\small{\mapsto}$ chain recurrent set of f and f $\small{\mapsto}$ number of chain components of f are continuous on J. In this paper we get the flow version of the above results on diffeomorphisms.
Keywords
chain recurrence;residual set;flow;
Language
English
Cited by
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A TOPOLOGICAL CHARACTERIZATION OF ­Ω-LIMIT SETS ON DYNAMICAL SYSTEMS, Journal of the Chungcheong Mathematical Society, 2014, 27, 3, 523
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