高阶Carotid-Kundalini函数Julia分形集的特性  

The Characteristics of Julia Set for Carotid-Kundalini Function with Hight-Order

作　　者：范延军[1] 孙燮华[1] 郑林涛[1] 

机构地区：[1]中国计量学院信息工程学院,杭州310034

出　　处：《计算机工程与应用》2006年第1期86-88,共3页Computer Engineering and Applications

摘　　要：Julia分形图是研究复动力系统的一种有力工具。文章研究了由高阶Carotid-Kundalini函数f(z)=cos(Nzkarccos(z))+c生成的Julia分形图的性质:当c为实数和N为实数或纯虚数时,分形图具有对称性;当N为实数,c=0时,图形具有2k+1个主瓣,和2k个从主瓣上发出的触角,且触角无界。The Julia set is an effective tool in investigations of complex dynamical systems.In this paper,we will study the characteristics of the julia set which is produced from complex Carotid-Kundalini function f（z）=cos（Nz^k arccos（z））＋c.We point out that the Julia set is symmetric for the real axis and if N is real number and c=0,there are 2k＋1 main petals and 2k antennae,and each antenna is boundless.

关 键 词：分形 JULIA集 Carotid-Kundalini函数 Julia_CK集 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]