Title :
General Julia Sets of Non-analytic Families z^n+c
Author :
Liu, Xiangdong ; Li, Zhijie ; Jiang, Nan ; Zhang, Junxing
Author_Institution :
Sch. of Comput. Sci. & Eng., Dalian Nat. Univ., Dalian, China
Abstract :
In this paper we present general Julia sets of non-analytic families z¿n+ c (n 3 2), we also propose some properties of these general Julia sets. Moreover, by iterated function systems theory, we give out two estimations of Hausdorff dimension of these general Julia sets when |c| is sufficient large or sufficient small.
Keywords :
set theory; vectors; Hausdorff dimension; general Julia sets; iterated function systems theory; nonanalytic family; Application software; Chaos; Computer science; Eigenvalues and eigenfunctions; Jacobian matrices; Polynomials; Symmetric matrices; Hausdorff dimension; Iterated Function Systems; Julia Set; Non-analytic Family;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.87
