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Indexed by:会议论文

Date of Publication:2009-11-06

Included Journals:EI、CPCI-S、Scopus

Page Number:417-421

Key Words:general Mandelbrot set; noise perturbation; quaternion; fractal

Abstract: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.