%0 Journal Article
%T Generalized Julia Sets From a Nonanalytic Complex Mapping<br>一个非解析复映射的广义Julia集
%A WANG Xin-Yuan
%A Luo Chao
%A <br>王兴元
%A 骆超
%J 数学物理学报(A辑)
%D 2005
%I 
%X The method constructing the Julia sets from a simple nonanalytic mapping developed by Michelitsch and Rossler is expanded. According to the complex mapping expanded by the author, a series of the generalized Julia sets for real index number are constructed. Using the experimental mathematics method and combining the theory of analytic functions of one complex variable with computer aided drawing, the fractal features and evolutions of the generalized Julia sets are studied. The results show: (i) the geometry structure of the generalized Julia sets depends on the parameters of α,R and c; (ii) the generalized Julia sets have symmetry and fractal feature; (iii) the generalized Julia sets for decimal index number have discontinuity and collapse, and their evolutions depend on the choice of the principal range of the phase angle.
%K Nonanalytic mappingzz
%K The generalized Julia setszz
%K Fractalzz
%K evolutionzz<br>非解析映射
%K 广义J集
%K 分形
%K 演化
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=462111D80C34896EDDE353B757B9E848&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=DF92D298D3FF1E6E&sid=0342E221E01D5238&eid=C7A7E1E32985D389&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=19