1 citations · 1 across the 4 of their papers we have counts for
4 papers
Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
François Gay-Balmaz, Álvaro Rodríguez Abella, Hiroaki Yoshimura
A new geometric approach to systems with boundary energy flow is developed using infinite-dimensional Dirac structures within the Lagrangian formalism. This framework satisfies a l…
Higher-order Euler-Poincaré field equations
Marco Castrillón López, Álvaro Rodríguez Abella
We develop a reduction theory for -invariant Lagrangian field theories defined on the higher-order jet bundle of a principal -bundle, thus obtaining the higher-order Euler-Po…
Nonholonomic reduction for mechanical systems with collisions
Álvaro Rodríguez Abella, Leonardo J. Colombo
This paper studies nonsmooth variational problems on principal bundles for nonholonomic systems with collisions taking place in the boundary of the manifold configuration space of…
Higher order jet bundles of Lie group-valued functions
Marco Castrillón López, Álvaro Rodríguez Abella
For each positive integer , the bundle of -jets of functions from a smooth manifold, , to a Lie group, , is denoted by and it is canonically endowed with a L…