点击次数：

论文类型：会议论文

发表时间：2009-11-06

收录刊物：EI、CPCI-S、Scopus

页面范围：417-421

关键字：general Mandelbrot set; noise perturbation; quaternion; fractal

摘要：The general quaternion Mandelbrot sets (abbreviated as M sets) with the additive and multiplicative dynamic noise perturbations are constructed. The topology structures and the fission evolutions of the M sets are investigated, and the boundaries the stability regions are calculated. Plenty of experiments and analysis indicate that the additive dynamic noise makes M sets displace from the original position and the multiplicative noise impels the stability regions of M sets shrink in a certain proportion. It can be concluded that the noises impact on the M sets greatly.