仿双尖点型多项式的孤立点

Isolated Critical Point of the Quasidouble Cusp Polynomial

针对Ｚｅｅｍａｎ的双尖点型突变问题推广了Ｇｏｄｗｉｎ的结果，给出了ｘ４＋βｙ４的开折。并利用Ｇｏｄｗｉｎ方法得到了一类含有９个参数的仿双尖点型多项式Ｅ（ｘ，ｙ）＝ｘ４＋ａｘｙ＋βｙ４＋γｘ２ｙ＋δｘｙ２＋ηｘ２＋θｘｙ＋ωｙ２－ξｘ－ξｙ的孤立点的判别条件。

It is introduced the notion of quasidouble cusp polynominal with nine parameters.It is an unfolding of x4 +βy4.Using Godwing's method,we obtained a sufficient condition that determines the isolated critical point of quasidouble cusp polynomial at 0.