This paper discuss the locally topological structure of higher order singular point for the plane cubic system in the first critical case and give a criterion by the coefficients of polynomials.

讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。

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The locally topological structure of higher order singular point for the plane quartic system in the first critical case is discussed, and a criteria by the coefficients of polynomials is given.

讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。

youdao