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This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian… (More)

As is well-known, there is a variational principle for the Euler–Poincaré equations on a Lie algebra g of a Lie group G obtained by reducing Hamilton’s principle on G by the action of G by, say, left… (More)

This paper surveys selected recent progress in geometric mechanics, focussing on Lagrangian reduction and gives some new applications to nonholonomic systems, that is, mechanical systems with… (More)

Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structure for spin glasses given by Holm and Kupershmidt in 1988, we investigate a general construction of… (More)

- Hernán Cendra, Darryl D. Holm, Mark J. W. Hoyle, Jerrold E. Marsden
- 1998

Low’s well known action principle for the Maxwell-Vlasov equations of ideal plasma dynamics was originally expressed in terms of a mixture of Eulerian and Lagrangian variables. By imposing suitable… (More)

- Hernán Cendra, Maŕıa Etchechoury, Alberto Ibort
- 2005

The question of finding solutions to given implicit differential equations (IDE) has been answered by several authors in the last few years, using different approaches, in an algebraic and also a… (More)

Setting. Let (X, g) be a given Riemannian manifold and let ∇ be the corresponding LeviCivita connection. Let G be a compact Lie group with a bi-invariant Riemannian metric κ. Let π : Q → X be a… (More)

- Antonio Fernández, Hernán Cendra
- Biophysical chemistry
- 1996

We introduce the principle of sequential minimization of entropy loss (SMEL) in the context of biopolymer folding in vitro. This principle asserts that at each stage in the dominant folding pathway,… (More)

- Hernán Cendra
- 2008

The constraint distribution in non-holonomic mechanics has a double role. On one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a… (More)

- Ariel Fernández, R Salthú, Hernán Cendra
- Physical review. E, Statistical physics, plasmas…
- 1999

The aim of this work is to implement a discrete coarse codification of local torsional states of the RNA chain backbone in order to explore the long-time limit dynamics and ultimately obtain a coarse… (More)