14 citations · 34 across the 6 of their papers we have counts for
3 papers · 1 filter
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
Eduardo García-Toraño Andrés, Tom Mestdag
In this paper we consider an alternative approach to "un-reduction". This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal…
Implicit Lagrange-Routh Equations and Dirac Reduction
Eduardo García-Toraño Andrés, Tom Mestdag, Hiroaki Yoshimura
In this paper, we make a generalization of Routh's reduction method for Lagrangian systems with symmetry to the case where not any regularity condition is imposed on the Lagrangian…
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
E. García-Toraño Andrés, E. Guzmán, J. C. Marrero +1
In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincaré and Lagrange-Poincaré reduction. In fact…