Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result...Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result given by Takens to the cubic homogeneous parameterizedvector fields with six parameters.展开更多
基金National Key Basic Research Special Fund(No.1998020307) National Natural Science Foundation of China(No.19990510).
文摘Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result given by Takens to the cubic homogeneous parameterizedvector fields with six parameters.