43 citations · 123 across the 10 of their papers we have counts for
10 papers
Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations
W. Sarlet, T. Mestdag
The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear tra…
Lifted tensors and Hamilton-Jacobi separability
G. Waeyaert, W. Sarlet
Starting from a bundle E over R, the dual of the first jet bundle, which is a co-dimension 1 sub-bundle of the cotangent bundle of E, is the appropriate manifold for the geometric…
Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over R
Willy Sarlet, Goedele Waeyaert
We study natural lifting operations from a bundle E over R to the dual bundle of its first-jet bundle. The main purpose is to define a complete lift of a type (1,1) tensor field on…
The inverse problem for Lagrangian systems with certain non-conservative forces
T. Mestdag, W. Sarlet, M. Crampin
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a given mechanical system can be brought into the form of Lagrangian equations wit…
On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
M. Crampin, T. Mestdag, W. Sarlet
In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative for…
A class of Poisson-Nijenhuis structures on a tangent bundle
W. Sarlet, F. Vermeire
Equipping the tangent bundle TQ of a manifold with a symplectic form coming from a regular Lagrangian L, we explore how to obtain a Poisson-Nijenhuis structure from a given type (1…