INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

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. 한국수학교육학회지시리즈B:순수및응용수학, 9(2), 113-118.

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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］.

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

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Vol.9 No.2

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

INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE

Abstract

한국수학교육학회지시리즈B:순수및응용수학