齐n次(n为奇数)广义中心—细鞍点系统第11阶细鞍点量公式

Calculation Formula of Eleven-Order Weak Saddle Values in Generalized Center-Weak Focus System of Degree n

采用广义极坐标变换,将微分方程定性理论中的齐n次(n为奇数)中心———细焦点系统,转化为广义中心———细鞍点系统,给出了该系统的第11阶细鞍点量计算公式.在此基础上,可以继续计算下一阶细鞍点量,进而为得到该系统的更高阶鞍点量计算公式打下基础.

A problem of center-weak focus system of degree n（ n denotes odd numbers） in qualitative theory of differential equation is transformed into the problem of generalized center-weak saddle system by a generalized transformation of generalized polar coordinates, which offers the calculation formula of eleven-order weak saddle values. Based on the transformation, next order centerweak saddle value can be calculated, which provides the foundation for the calculation of higher order saddle values of the system.