In this paper, we analyse the form rule of M set , through adjusting the value of color and made the elaborate structure of the escape area based on the escape time algorithm visible.

To effectively divide the parameter space of the mapping of upper halfplane limit,we construct relevant generalized M sets.

With the purpose of reducing the calculating time and improve the efficiency for constructing M sets,the research applies the simplex method of the unbound optimization theory for the set of initial iterating points, which make the determinant of Jacobin matrix of the mapping equal to zero.

A Method of Rendering M-set Based on the Time-escaped Algorithm;

According to the switched mapping,the method constructing the generalized Mandelbrot and Julia combination sets was elaborated,and a series of the generalized Mandelbrot and Julia combination sets from complex mapping z←z w+c(w∈C) were constructed.

Research on generalized Gauss sums fractal sequences and their M-J sets;

The M-J Sets of Compound Complex Map and Projective Synchronization of a Class of Chaos System;