Chain Recurrence in Persistent Dynamical Systems

  • Chi, Dong Pyo (Department of Mathematics Seoul National University) ;
  • Koo, Ki-Shik (Department of Mathematics Daejeon University) ;
  • Lee, Keon-Hee (Department of Mathematics Chungnam National University) ;
  • Park, Jong-Suh (Department of Mathematics Chungnam National University)
  • Received : 1989.09.10
  • Published : 1990.06.30

Abstract

The purpose of this paper is to study the chain recurrent sets under persistent dynamical systems, and give a necessary condition for a persistent dynamical system to be topologically stable. Moreover, we show that the various recurrent sets depend continuously on persistent dynamical system.

Keywords

Acknowledgement

Supported by : Basic Science Research Institute