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INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE

김영익|금영희
한국수학교육학회|2002.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제9권 제2호|pp. 113-118

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키워드

bifurcationMandelbrot setintersectiondegree-n bifurcation set
주제분류수학

초록

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

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

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