On the Stability of Equilibria in Two-Degrees-of- Freedom Hamiltonian Systems Under Resonances

被引：0

作者：

A. Elipe

V. Lanchares

A.I. Pascual

机构：

[1] Grupo de Mecanica Espacial,

[2] Universidad de Zaragoza,undefined

[3] 50009 Zaragoza,undefined

[4] Dept. Matematicas y Computacion,undefined

[5] Universidad de La Rioja,undefined

[6] 26004 Logrono,undefined

来源：

Journal of Nonlinear Science | 2005年 / 15卷

关键词：

Nonlinear stability; Normal forms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the problem of stability of equilibrium points in Hamiltonian systems of two degrees of freedom under resonances. Determining the stability or instability is based on a geometrical criterion based on how two surfaces, related with the normal form, intersect one another. The equivalence of this criterion with a result of Cabral and Meyer is proved. With this geometrical procedure, the hypothesis may be extended to more general cases.

引用

页码：305 / 319

页数：14

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