Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 781976, 18 pages
doi:10.1155/2009/781976
The generalized Julia set perturbed by composing additive and multiplicative noises
Xingyuan Wang
, Ruihong Jia
and Yuanyuan Sun
Department of Computer Science and Technology, Dalian University of Technology, Dalian 116024, China
Abstract
This paper contrastively researches the structural characteristic and the fission-evolution law of four different kinds of generalized Julia set (generalized J set in short) with different parameter c, which includes the generalized J set without any perturbation, the generalized J set perturbed by additive noises, the generalized J set perturbed by multiplicative noise, and the generalized J set perturbed by composing additive and multiplicative noises, analyzes the effect of random perturbation to the generalized J set, and illuminates the stability of the generalized J set.