SOME APPLICATIONS OF THE EULER-JACOBI FORMULA TO DIFFERENTIAL-EQUATIONS

被引：14

作者：

CIMA, A ^{[1
]}

GASULL, A ^{[1
]}

MANOSAS, F ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,FAC CIENCIES,DEPT MATEMAT,E-08193 BARCELONA,SPAIN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 01期

关键词：

DIFFERENTIAL EQUATION; CRITICAL POINT; EULER JACOBI FORMULA; CENTER POINT;

D O I：

10.2307/2160021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Euler-Jacobi formula gives an algebraic relation between the critical points of a vector field and their indices. Using this formula we obtain an upper bound for the number of centers that a planar polynomial differential equation can have and study the distribution of the critical points for planar quadratic and cubic differential equations.

引用

页码：151 / 163

页数：13

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