11 citations · 16 across the 6 of their papers we have counts for
6 papers
Variational Inverse Problems for Second Order ODEs with and without Constraints
G. E. Prince, T. Mestdag, D. Martin de Diego
Many physical systems with or without nonholonomic constraints have a Lagrangian description. In the first case, the Lagrangian model can be represented by second-order ODEs that a…
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…
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…
Shape maps for second order partial differential equations
O. Rossi, D. J. Saunders, G. E. Prince
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a cong…
Tangent bundle geometry induced by second order partial differential equations
D. J. Saunders, O. Rossi, G. E. Prince
We show how the tangent bundle decomposition generated by a system of ordinary differential equations may be generalized to the case of a system of second order PDEs `of connection…
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…