On the structure of the Mandelbar set

被引：49

作者：

Crowe, W. D. ^{[1
]}

Hasson, R. ^{[1
]}

Rippon, P. J. ^{[1
]}

Strain-Clark, P. E. D. ^{[1
]}

机构：

[1] Open Univ, Fac Math, Milton Keynes MK7 6AA, Bucks, England

来源：

NONLINEARITY | 1989年 / 2卷 / 04期

关键词：

D O I：

10.1088/0951-7715/2/4/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the bifurcation diagram for iterates of the non-analytic maps z -> f(c)(z) = (z) over bar (2) + c, where c epsilon C. The set M-BAR = {c : f(c)(n)(0) negated right arrow}, which we call the Mandlebar set, displays many similarities to the Mandelbrot set. However, bifurcotions in M-BAR can take place across boundary arcs rather than through boundary points.

引用

页码：541 / 553

页数：13

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