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2020年4月13日 (一) 10:16的版本

删除858字节、 2020年4月13日 (一) 10:16

→‎心脏形结构和圆盘形“芽苞”Main cardioid and period bulbs

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There are infinitely many other bulbs tangent to the main cardioid: for every rational number {\displaystyle {\tfrac {p}{q}}}, with p and q coprime, there is such a bulb that is tangent at the parameter.This bulb is called the {\displaystyle {\tfrac {p}{q}}}-bulb of the Mandelbrot set.

类似这样的“芽苞”突起有无穷多个，它们都与主心脏形结构曲线相切。

且满足以下定义：

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[[File:P13_Animated_cycle.gif|300px|thumb|right|在 Julia 集上绘制一周期为2 / 5的吸性周期循环的“芽苞”(动画)]]

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It consists of parameters that have an attracting cycle of period {\displaystyle q} and combinatorial rotation number {\displaystyle {\tfrac {p}{q}}}. More precisely, the {\displaystyle q} periodic Fatou components containing the attracting cycle all touch at a common point (commonly called the {\displaystyle \alpha }-fixed point). If we label these components {\displaystyle U_{0},\dots ,U_{q-1}} in counterclockwise orientation, then {\displaystyle P_{c}} maps the component {\displaystyle U_{j}} to the component {\displaystyle U_{j+p\,(\operatorname {mod} q)}}.

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