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research article
Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions
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-Poincar, and Lie-Poisson reduction is also studied in detail.
Type
research article
Web of Science ID
WOS:000297742900005
Authors
Publication date
2011
Published in
Volume
42
Start page
579
End page
606
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
June 12, 2012
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