28 citations · 48 across the 5 of their papers we have counts for
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nlin.CD2010★ 6 cited
Un-reduction
Martins Bruveris, David C. P. Ellis, Francois Gay-Balmaz +1
This paper provides a full geometric development of a new technique called un-reduction, for dealing with dynamics and optimal control problems posed on spaces that are unwieldy fo…
nlin.CD2009★ 28 cited
Lagrange-Poincare field equations
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +1
The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/re…