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ISSN : 1226-0657

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Vol.9 No.2
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INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Kim, Young-Ik
Geum,, Y. , & Kim,, Y. (2002). INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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