A FORMULA FOR INDEX OF A SINGULAR POINT OF POLYNOMIAL DIFFERENTIAL SYSTEMS IN THE PLANE

A FORMULA FOR INDEX OF A SINGULAR POINT OF POLYNOMIAL DIFFERENTIAL SYSTEMS IN THE PLANE

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摘要 By discussing the relation between the method of Poincare's transformation and the method of Bendixsion's transformation which are used to analyse the behavior of singular points at infinity, a formula for index of a singular point of polynomial differential system in the plane is deduced. It is convenient to use the formula in this paper to calculate the index of a singular point with higher order. By discussing the relation between the method of Poincare's transformation and the method of Bendixsion's transformation which are used to analyse the behavior of singular points at infinity, a formula for index of a singular point of polynomial differential system in the plane is deduced. It is convenient to use the formula in this paper to calculate the index of a singular point with higher order.

作者李林

机构地区北京石油化工学院

出处《Annals of Differential Equations》 1997年第3期260-274,共15页 微分方程年刊（英文版）

关键词 the index of a singular point Poincare's transformation Bendixsion's transformation singular points at infinity the index of a singular point, Poincare's transformation, Bendixsion's transformation, singular points at infinity

分类号 O172 [理学—基础数学]

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Annals of Differential Equations

1997年第3期

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A FORMULA FOR INDEX OF A SINGULAR POINT OF POLYNOMIAL DIFFERENTIAL SYSTEMS IN THE PLANE

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