43 citations · 352 across the 38 of their papers we have counts for
8 papers · 1 filter
Conditions for symmetry reduction of polysymplectic and polycosymplectic structures
Eduardo García-Toraño Andrés, Tom Mestdag
For Hamiltonian field theories on polysymplectic manifolds with a symmetry group action and a momentum map, we explore the redundancy in a set of necessary conditions that has appe…
Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
Santiago Capriotti, Viviana Alejandra Díaz, Eduardo García-Toraño Andrés +1
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and…
A generalization of Szebehely's inverse problem of dynamics in dimension three
W. Sarlet, T. Mestdag, G. Prince
Extending a previous paper, we present a generalization in dimension 3 of the traditional Szebehely-type inverse problem. In that traditional setting, the data are curves determine…
The inverse problem of the calculus of variations and the stabilization of controlled Lagrangian systems
M. Farré Puiggalí, T. Mestdag
We apply methods of the so-called `inverse problem of the calculus of variations' to the stabilization of an equilibrium of a class of two-dimensional controlled mechanical systems…
Routh Reduction by Stages
Bavo Langerock, Tom Mestdag, Joris Vankerschaver
This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature o…
Hamiltonization and geometric integration of nonholonomic mechanical systems
T. Mestdag, A. M. Bloch, O. E. Fernandez
In this paper we study a Hamiltonization procedure for mechanical systems with velocity-depending (nonholonomic) constraints. We first rewrite the nonholonomic equations of motion…