正实数阶广义J集的嵌套拓扑分布定理

The Overlapping Embedment Topology Distribution Theorem of the Generalized J Sets for Real Index Number

阐述了正实数阶广义Ｊｕｌｉａ 集（ 简称广义Ｊ集） 的理论；通过改变参数α，作出了一系列广义Ｊ分形图，这些分形图类似若干花瓣组成的花朵；给出了广义Ｊ集的嵌套拓扑分布定理，并对α取非整数时广义Ｊ集的演化过程和雏瓣出现的原因进行了分析·

The theory of the generalized julia set for real index number was expounded. A series of interesting and rich families of fractal images were generated by changing a single parameter α . The resulting images are similar to a flower with many lobes.The overlapping embedment topology distribution theorem of the generalized J sets was proposed,and the evolution of the generalized J sets and the embryonic lobe arising for non integer values of α were also analyzed.