Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions
Gay-Balmaz, François ; Holm, D.D. ; Ratiu, T.S.
HAL, hal-01119190 / Harvested from HAL
Text on HAL
Motivated by the problem of longitudinal data assimilation, e. g., in the registration of a sequence of images, we develop the higher-order framework for Lagrangian and Hamiltonian reduction by symmetry in geometric mechanics. In particular, we obtain the reduced variational principles and the associated Poisson brackets. The special case of higher order Euler-Poincaré and Lie-Poisson reduction is also studied in detail. © 2011 Springer.
Publié le : 2011-07-04
Classification:  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-01119190,
     author = {Gay-Balmaz, Fran\c cois and Holm, D.D. and Ratiu, T.S.},
     title = {Higher order Lagrange-Poincar\'e and Hamilton-Poincar\'e reductions},
     journal = {HAL},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01119190}
}

Gay-Balmaz, François; Holm, D.D.; Ratiu, T.S. Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. HAL, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/hal-01119190/