摘要
推广了Philip提出的用于探讨Mandelbrot集外部结构问题的区域分解和角度分解方法,提出了等势线和色彩调配法,并利用这4种方法构造了一系列正实数阶广义Julia集(简称广义J集)的外部结构图.研究了广义J集外部结构的分形特征及演化过程.
The region decomposition and the angle decomposition methods are expanded based on the research into some outside structures of the Mandelbrot set from Philip, and the equipotential line and the color adjustment methods are also proposed, and a series of outside structures images of the generalized Julia sets for positive real index number are also constructed by means of these four methods. The fractal characteristics and the evolutions of outside structures of the generalized Julia sets are analyzed.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2003年第4期530-534,共5页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目(69974008)
中国博士后科学基金资助项目
辽宁省自然科学基金资助项目(972194).
