[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.4.22

UNIFORM RECURRENCE IN DYNAMICAL SYSTEMS

Koo, Kishik (Department of Computer and Information Security Daejon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 863-868 More about this Journal

Abstract

The purpose of this paper is to study the orbit behaviours near almost periodic points. We introduce notions of uniformly recurrent and u-recurrent points and investigate some relationships between these properties.

Keywords

almost recurrent point; uniformly recurrent point; u-recurrent point;

Citations & Related Records

Reference

1	N. Aoki, Topics in General Topology, Elsevier, Amsterdaml, 1989.
2	K. Haddad and W. Ott, Recurrence in pairs, Ergod. Th. and Dynam. Sys. 28 (2008), 1135-1143.
3	K. Koo, Recurrence and zero characteristic properties in dynamical systems, Ph. D. Thesis, (1988).
4	N. P. Bhatia and G. P. Szego, Dynamical systems: Stability Theory and Applications, Springer-Verlag, Berlin, 1967.