Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A TOPOLOGICAL CHARACTERIZATION OF ­Ω-LIMIT SETS ON DYNAMICAL SYSTEMS

  • Chu, Hahng-Yun (Department of Mathematics Chungnam National University) ;
  • Kim, Ahyoung (Department of Mathematics Chungnam National University) ;
  • Park, Jong-Suh (Department of Mathematics Chungnam National University)
  • Received : 2014.07.25
  • Accepted : 2014.08.05
  • Published : 2014.08.15
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Abstract

In this article, we deal with the notion of ­${\Omega}$-limit sets in dynamical systems. We show that the ${\Omega}$­-limit set of a compact subset of a phase space is quasi-attracting.

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References

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