Journal of applied mathematics & informatics

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

THE SET OF RECURRENT POINTS OF A CONTINUOUS SELF-MAP ON AN INTERVAL AND STRONG CHAOS

  • Wang, Lidong (The Research Institute of Nonlinear Information & Technology, Dalian Nationalities University) ;
  • Liao, Gongfu (The Research Institute of Mathematics, Jilin University) ;
  • Chu, Zhenyan (The Research Institute of Nonlinear Information & Technology, Dalian Nationalities University) ;
  • Duan, Xiaodong (The Research Institute of Nonlinear Information & Technology, Dalian Nationalities University)
  • Published : 2004.01.01

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Abstract

In this paper, we discuss a continuous self-map of an interval and the existence of an uncountable strongly chaotic set. It is proved that if a continuous self-map of an interval has positive topological entropy, then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.

Keywords

References

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