Stability of relative equilibria with singular momentum values in simple mechanical systems
Rodriguez-Olmos, Miguel
arXiv, 0506280 / Harvested from arXiv
Text on arXiv
A method for testing $G_\mu$-stability of relative equilibria in Hamiltonian systems of the form "kinetic + potential energy" is presented. This method extends the Reduced Energy-Momentum Method of Simo et al. to the case of non-free group actions and singular momentum values. A normal form for the symplectic matrix at a relative equilibrium is also obtained.
Publié le : 2005-06-14
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  37J25,  77H33,  53D20 
@article{0506280,
     author = {Rodriguez-Olmos, Miguel},
     title = {Stability of relative equilibria with singular momentum values in simple
  mechanical systems},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506280}
}

Rodriguez-Olmos, Miguel. Stability of relative equilibria with singular momentum values in simple
  mechanical systems. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506280/