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

被引：12
|
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.
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页码：151 / 163
页数：13
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