Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems

被引：2

作者：

Liu, Xingbo ^{[1
]}

Zhu, Deming ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2008年 / 29卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Reversible system; Homoclinic orbits; Saddle-center; Bifurcation;

D O I：

10.1007/s11401-008-0038-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoclinic orbits near the primary homoclinic orbits is developed. Some known results are extended.

引用

页码：575 / 584

页数：10

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