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math-ph2013★ 3 cited
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…
math-ph2011★ 3 cited
Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type
W. Sarlet, G. Prince, T. Mestdag +1
We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explic…