The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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INTERSECTION OF THE DEGREE-n BIFURCATION SET WITH THE REAL LINE

  • Geum, Young-Hee (Department of Applied mathematcis, Dankook University) ;
  • Kim, Young-Ik (Department of Applied mathematcis, Dankook University)
  • Published : 2002.11.01
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Abstract

Definition and some properties of the degree-n bifurcation set are introduced. It is proved that the interval formed by the intersection of the degree-n bifurcation set with the real line is explicitly written as a function of n. The functionality of the interval is computationally and geometrically confirmed through numerical examples. Our study extends the result of Carleson & Gamelin ［2］.

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