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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.9 No.2

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INTERSECTION OF THE DEGREE-n BIFURCATION SET WITH THE REAL LINE

INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2002, v.9 no.2, pp.113-118
Geum, Young-Hee (Department of Applied mathematcis, Dankook University)
Kim, Young-Ik (Department of Applied mathematcis, Dankook University)
Geum, Young-Hee, & Kim, Young-Ik. (2002). INTERSECTION OF THE DEGREE-n BIFURCATION SET WITH THE REAL LINE. , 9(2), 113-118.

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］.

keywords
bifurcation, degree-n bifurcation set, Mandelbrot set, intersection

한국수학교육학회지시리즈B:순수및응용수학

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