Isochronicity into a family of time-reversible cubic vector fields

被引：35

作者：

Chavarriga, J ^{[1
]}

García, IA ^{[1
]}

Giné, J ^{[1
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 2500, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 121卷 / 2-3期

关键词：

isochronicity; center-focus problem; nonlinear differential equations;

D O I：

10.1016/S0096-3003(99)00267-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study necessary and sufficient conditions for the existence of isochronous centers into a family of cubic time-reversible systems. This class of reversible systems is characterized by the existence of an inverse integrating factor which is a certain power of an invariant straight line. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：129 / 145

页数：17

共 22 条

[1]

[Anonymous], DIFF EQUAT

[2]

CAIRO L, IN PRESS COMPUT MATH

[3] Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials [J].