On the structure of the Mandelbar set

On the structure of the Mandelbar set
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关于Mandelbar集的结构

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
P. Strain
P. Strain
中科院分区:
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文献类型:
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作者:
W. Crowe;R. Hasson;P. Rippon;P. Strain

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研究了非解析映射z到fc(z)= z ~ 2 +c的迭代的分歧图。他们称之为曼德尔巴集的集合与曼德尔布罗特集有许多相似之处。然而,MBAR中的分叉可以跨边界弧而不是通过边界点发生。
The authors study the bifurcation diagram for iterates of the non-analytic maps z to fc(z)=z2+c. The set which they call the Mandelbar set, displays many similarities to the Mandelbrot set. However, bifurcations in MBAR can take place across boundary arcs rather than through boundary points.