24 citations · 61 across the 11 of their papers we have counts for
9 papers · 1 filter
Lepage Equivalents and the Variational Bicomplex
David Saunders
We show how to construct, for a Lagrangian of arbitrary order, a Lepage equivalent satisfying the closure property: that the Lepage equivalent vanishes precisely when the Lagrangia…
Linear connections and shape maps for second order ODEs with and without constraints
G. E. Prince, M. Farré Puiggalí, D. J. Saunders +1
We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method all…
On Lagrangians with Reduced-Order Euler-Lagrange Equations
David Saunders
If a Lagrangian defining a variational problem has order then its Euler-Lagrange equations generically have order . This paper considers the case where the Euler-Lagrange e…
Hilbert forms for a Finsler metrizable projective class of sprays
M. Crampin, T. Mestdag, D. J. Saunders
The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally defined) Finsl…
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…
Homogeneity and projective equivalence of differential equation fields
M. Crampin, D. J. Saunders
We propose definitions of homogeneity and projective equivalence for systems of ordinary differential equations of order greater than two, which allow us to generalize the concept…