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LOCAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POLYNOMIAL SYSTEMS
一类平面齐次多项式系统的局部相图

Keywords: Plane polynomial homogeneous systems,Newton polyhedra,index of a singularity
平面多项式系统
,奇点指数,牛顿图

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Abstract:

Ly using Newton polyhedra method, the local phase-portraits of some homogeneous polynomial vector fields are discussed, and some necessary and sufficient conditions for the local stability of the origin are obtained.

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