Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON THE LIMIT SETS AND THE BASIC SETS OF CHAIN RECURRENT SETS

  • Koo, Ki-Shik (Department of Mathematics, Taejon University)
  • Published : 2000.09.01

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Abstract

In this paper, we show that if x is a positively Lyapunov stable point of an expansive homeomorphism with the pseudo-orbit-tracing-property, then x is a periodic point or its positive limit set consists of only one periodic orbit, and their periods are predictable. We give a necessary and sufficient condition that a basic set is to be a sink or source. Also, we consider some dynamical properties of basic sets.

Keywords

References

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