63 citations · 73 across the 3 of their papers we have counts for
3 papers
math.DG2010★ 3 cited
Induced Dirac structure on isotropy type manifolds
Tudor S. Ratiu, Madeleine Jotz
A new method of singular reduction is extended from Poisson to Dirac manifolds. Then it is shown that the Dirac structures on the strata of the quotient coincide with those of the…
nlin.AO2009★ 7 cited
Dynamics of charged molecular strands
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +2
Euler-Poincare equations are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting ri…
chao-dyn1999★ 63 cited
Lagrangian Reduction, the Euler--Poincaré Equations, and Semidirect Products
H. Cendra, D. D. Holm, J. E. Marsden +1
There is a well developed and useful theory of Hamiltonian reduction for semidirect products, which applies to examples such as the heavy top, compressible fluids and MHD, which ar…