Title :
Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps
Author :
Dejun, Yan ; Rijing, Yang ; Huijie, Xin ; Jiangchao, Zheng
Author_Institution :
Res. Inst. of Non-linear Inf. Technol., Dalian Nat. Univ., Dalian, China
Abstract :
In this paper we investigate the generalized Mandelbrot sets and Julia sets generated from non-analytic complex maps. We use the escaping time algorithm to construct the generalized Mandelbrot set and Julia sets. We find that the structures of the generalized Mandelbrot sets and the Julia sets are similar to the analytic complex iterated function systems.
Keywords :
iterative methods; set theory; Julia sets; Mandelbrot sets; complex iterated function systems; nonanalytic complex maps; Conferences; Fractals; Frequency modulation; Information technology; Jacobian matrices; Orbits; Polynomials; Generalized Mandelbrot Set; Julia Set; Non-analytic Complex Maps;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.42
