Research on Misiurewiz points in Mandelbrot set

Misiurewiz points and attracting points of the chaotic regions in the Mandelbrot set are located in what we call shrubs. Certain branch points are Misiurewicz points (including all “obvious” branch points in the filaments) and certain terminal points are also Misiurewicz points. Using the method of computer mathematic experiments, The distribution rules of Misiurewiz points in Mandelbrot set generated by the complex mapping z←z2 +c are studied. In this paper, we have focused on the method of solving about Misiurewiz points which located in the Mandelbrot set, and also shows the relationship for Misiurewiz point and Tree trunk of Misiurewiz points with recurrence formula. We have seen that each shrub is made up of infinite chaotic-bands, Including countless Misiurewiz points and periodic buds. it provides a new way on discussing internal structure of Mandelbrot set.