22 citations · 37 across the 7 of their papers we have counts for
7 papers
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…
Symmetry reduction, integrability and reconstruction in k-symplectic field theory
L. Bua, T. Mestdag, M. Salgado
We investigate the reduction process of a k-symplectic field theory whose Lagrangian is invariant under a symmetry group. We give explicit coordinate expressions of the resulting r…
Finsler geodesics of Lagrangian systems through Routh reduction
T. Mestdag
We make use of a symmetry reduction technique called Routh reduction to show that the solutions of the Euler-Lagrange equations of a strongly convex autonomous Lagrangian which lie…
A generalization of Szebehely's inverse problem of dynamics
W. Sarlet, T. Mestdag, G. Prince
The so-called inverse problem of dynamics is about constructing a potential for a given family of curves. We observe that there is a more general way of posing the problem by makin…
A class of Finsler surfaces whose geodesics are circles
M. Crampin, T. Mestdag
We determine all Finsler metrics of Randers type for which the Riemannian part is a scalar multiple of the Euclidean metric, on an open subset of the Euclidean plane, whose geodesi…
The multiplier approach to the projective Finsler metrizability problem
M. Crampin, T. Mestdag, D. J. Saunders
This paper is concerned with the problem of determining whether a projective-equivalence class of sprays is the geodesic class of a Finsler function. We address both the local and…