高维映射的规范型

Normal Forms for High Dimendional Maps

从理论上给出了高维非线性映射的规范型求法 ,并给出了在奇点的线性项可对角化的映射的规范型求法 .该方法是构造性的 ,具有相当的适用性 .同时给出了两个例子 .

In this paper, we showed the methods of computing normal forms for high dimensional nonlinear maps theoretically. In particular, for those whose linear parts in the critical points are diagonalizable. The methods are constructive and quite applicable. Meanwhile, two examples are given.