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math-ph2016★ 11 cited
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…
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…