个人信息Personal Information
教授
博士生导师
硕士生导师
性别:女
毕业院校:大连理工大学
学位:博士
所在单位:计算机科学与技术学院
学科:计算机应用技术
电子邮箱:syuan@dlut.edu.cn
Generalized quaternion M sets and Julia sets perturbed by dynamical noises
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论文类型:期刊论文
发表时间:2015-10-01
发表刊物:NONLINEAR DYNAMICS
收录刊物:EI、SCIE、Scopus
卷号:82
期号:1-2
页面范围:143-156
ISSN号:0924-090X
关键字:Generalized M sets; Generalized J sets; Noise perturbations; Quaternion; Fractal
摘要:In this study, the quaternion Mandelbrot sets and Julia sets (abbreviated as M-J sets) with additive and multiplicative noise perturbations are constructed and the changes of their fractal characteristics are explored. The experimental results show that the quaternion M sets with additive noise perturbations move in the direction of the noise, while the structures remain unchanged. The quaternion J sets with additive noise perturbations change dramatically both in the structures and in the periodicities. The quaternion M sets with multiplicative noise perturbations present scaling and rotation, while the stable regions maintain the same distributions as the non-perturbed M sets. The structures and the periodicities of the J sets change under multiplicative noise perturbations, keeping different sensitivity to the noise parameters. The M sets and J sets still share the same stable points under both the additive and multiplicative noise perturbations.