Research on fractal structure of generalized J set utilized compound complex map

This paper generalizes Entwistlersquos complex map as , constructs a set of generalized Julia sets(J sets) by using the escape time. Adopting the experimental mathematics method of combining the analytic function with computer aided drawing, this paper researches on the structure topological inflexibility and the discontinuity evolution law of the generalized J sets. The researches as below: #9312generalized J sets have fold rotation symmetry and its center is the origin when nbspis integer#9313the different choices of angle lead to the different evolution of generalized J sets