摘要
According to the switched complex mapping proposed by the author, the methodconstructing the switched processes generalized M(Mandelbrot) sets was elaborated, and aseries of the switched processes generalized M sets for complex index number wereconstructed. The construction characteristics of the generalized M sets were expoundedaccording to the analysis of the algorithm constructing the generalized M sets. On the basisof what has already been achieved, the trajectories of a starting point in the complex C-planeunder the switched mapping were researched into. The results show that the switchedprocesses generalized M sets have the fractal feature, the construction characteristics of theswitched processes generalized M sets are dependent on the complex index number w and theswitched variable ro , and the reason which results in the discontinuity of the switchedprocesses generalized M sets is the discontinuity of choice of the principal range of the phaseangle.
基金
国家自然科学基金，辽宁省自然科学基金
