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

被引：15

作者：

Klaus, J ^{[1
]}

Knobloch, J ^{[1
]}

机构：

[1] Tech Univ Ilmenau, Dept Math, D-98684 Ilmenau, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 09期

关键词：

reversible system; homoclinic orbit; nonhyperbolic fixed point; bifurcation;

D O I：

10.1142/S0218127403008119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two-parameter families of reversible vector fields having (at the critical parameter value) a homoclinic orbit to a nonhyperbolic fixed point. The nonhyperbolicity is due to a pair of purely imaginary eigenvalues. We give a complete description of the bifurcating one-homoclinic orbits to the center manifold. For that purpose we adapt Lin's method.

引用

页码：2603 / 2622

页数：20

共 19 条

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