Stability of relative equilibria with singular momentum values in simple mechanical systems

被引：8
|
作者：
Rodríguez-Olmos, M [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
来源：
NONLINEARITY | 2006年 / 19卷 / 04期
关键词：
D O I：
10.1088/0951-7715/19/4/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method for testing the stability of relative equilibria in Hamiltonian systems of the form 'kinetic + potential energy' is presented. This method extends previously existing techniques to the case of non-free group actions and singular momentum values. A normal of the symplectic matrix at a relative equilibrium is also obtained.
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页码：853 / 877
页数：25
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