C^N中多项式自同构的动力系统

This paper is assigned to discuss the dynamics of a special class of polynomial automorphisms of C^N which was shown to be dense in the group of the polynomial automorphisms.We give some results about the analytic and geometric properties of the filled-in Julia set and the nonwandering set.We also make a characterization of the stable and unstable manifold for the filled-in Julia set.Furthermore,the number of the fixes points for such maps is studied.