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.
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页码：305 / 319
页数：14
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