摘要
以 z← z2 +c为基础 ,对由其演化而得到的高次数 Julia集的性质分析 ,并得出性质定理 .在此基础上 ,论述了复解析动力系统中复映射 Mandelbort集 (z← z2 +c)的定义和一些由复映射所构造的广义集合的定义和性质 .最后 ,从应用的角度讨论了其分形图形在图形防伪中的应用 .
Based on the complex mapping z←z 2+c(Julia set),the structural characteristics and the evolution of the Julia sets are analyzed.And the definition of the M(Mandelbrot) set and the generalized M sets from the complex mapping z←z a+c(a∈Z) is expounded. The complex mapping in the graphics safegurard is also discussed.
