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.
引用
收藏
页码：853 / 877
页数：25
相关论文
共 50 条
  • [21] Asymptotic Stability of the Equilibrium of Singular Mechanical Systems
    M. M. Zhechev
    Automation and Remote Control, 2001, 62 : 383 - 390
  • [22] BIFURCATIONS OF RELATIVE EQUILIBRIA NEAR ZERO MOMENTUM IN HAMILTONIAN SYSTEMS WITH SPHERICAL SYMMETRY
    Montaldi, James
    JOURNAL OF GEOMETRIC MECHANICS, 2014, 6 (02): : 237 - 260
  • [23] On the asymptotic stability of equilibria of nonlinear mechanical systems with delay
    A. Yu. Aleksandrov
    A. P. Zhabko
    Differential Equations, 2013, 49 : 143 - 150
  • [24] On the Asymptotic Stability of Equilibria of Nonlinear Mechanical Systems with Delay
    Aleksandrov, A. Yu
    Zhabko, A. P.
    DIFFERENTIAL EQUATIONS, 2013, 49 (02) : 143 - 150
  • [25] SPECTRAL STABILITY OF RELATIVE EQUILIBRIA
    Howard, James E.
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1990, 48 (03): : 267 - 288
  • [26] Stability of Hamiltonian relative equilibria
    Ortega, JP
    Ratiu, TS
    NONLINEARITY, 1999, 12 (03) : 693 - 720
  • [27] Persistence and stability of relative equilibria
    Montaldi, J
    NONLINEARITY, 1997, 10 (02) : 449 - 466
  • [28] Stability for Lagrangian relative equilibria of three-point-mass systems
    Schmah, Tanya
    Stoica, Cristina
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (46): : 14405 - 14425
  • [29] Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems
    Patrick, George W.
    Roberts, Mark
    Wulff, Claudia
    NONLINEARITY, 2008, 21 (02) : 325 - 352
  • [30] Relative equilibria of tethered satellite systems and their stability for very stiff tethers
    Krupa, M
    Schagerl, M
    Steindl, A
    Szmolyan, P
    Troger, H
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2001, 16 (03): : 253 - 278
12345