The general properties of the spherical vortices (SV) ofn-TH order and the chaotic phenomena and of the ordered structures of the SV of 3RD order

The general properties of the spherical vortices (SV) of n-th order are discussed in this paper. Numerical calculations are carried out in the case of n=3. We find out some interesting phenomena concerning the chaotic regions and ordered islands on the Poincaré sections. Interpretations of these phenomena are also given. Project supported by the National Basic Research (Nonlinear Science) Foundation of China