Release Time:2019-03-11  Hits:

Indexed by: Conference Paper

Date of Publication: 2009-11-06

Included Journals: Scopus、CPCI-S、EI

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.