Bifurcation and forced symmetry breaking in Hamiltonian systems
Grabsi, Fethi ; Montaldi, James ; Ortega, Juan-Pablo
HAL, hal-00023594 / Harvested from HAL
Text on HAL
We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symplectic manifold. In particular we study the persistence of an initial relative equilibrium subjected to this forced symmetry breaking. We see that, under certain nondegeneracy conditions, an estimate can be made on the number of bifurcating relative equilibria.
Publié le : 2004-07-05
Classification:  Differential geometry,  dynamical systems,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00023594,
     author = {Grabsi, Fethi and Montaldi, James and Ortega, Juan-Pablo},
     title = {Bifurcation and forced symmetry breaking in Hamiltonian systems},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00023594}
}

Grabsi, Fethi; Montaldi, James; Ortega, Juan-Pablo. Bifurcation and forced symmetry breaking in Hamiltonian systems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023594/