A generalization of Szebehely’s inverse problem of dynamics
 Author
 Willy Sarlet (UGent) , Tom Mestdag (UGent) and Geoff Prince
 Organization
 Project

 GEOMECH (Geometric mechanics)
 Abstract
 The socalled 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 making use of ideas of another inverse problem, namely the inverse problem of the calculus of variations. We critically review and clarify different aspects of the current state of the art of the problem (mainly restricted to the case of planar curves), and then develop our more general approach.
 Keywords
 HELMHOLTZ CONDITIONS, HAMILTONJACOBI THEORY, CALCULUS, EQUATION, TRAJECTORIES, SYSTEMS, FAMILIES, ORBITS, inverse problem of the calculus of variations, inverse problem of dynamics, Szebehely's equation
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU4177964
 MLA
 Sarlet, Willy, Tom Mestdag, and Geoff Prince. “A Generalization of Szebehely’s Inverse Problem of Dynamics.” REPORTS ON MATHEMATICAL PHYSICS 72.1 (2013): 65–84. Print.
 APA
 Sarlet, Willy, Mestdag, T., & Prince, G. (2013). A generalization of Szebehely’s inverse problem of dynamics. REPORTS ON MATHEMATICAL PHYSICS, 72(1), 65–84.
 Chicago authordate
 Sarlet, Willy, Tom Mestdag, and Geoff Prince. 2013. “A Generalization of Szebehely’s Inverse Problem of Dynamics.” Reports on Mathematical Physics 72 (1): 65–84.
 Chicago authordate (all authors)
 Sarlet, Willy, Tom Mestdag, and Geoff Prince. 2013. “A Generalization of Szebehely’s Inverse Problem of Dynamics.” Reports on Mathematical Physics 72 (1): 65–84.
 Vancouver
 1.Sarlet W, Mestdag T, Prince G. A generalization of Szebehely’s inverse problem of dynamics. REPORTS ON MATHEMATICAL PHYSICS. 2013;72(1):65–84.
 IEEE
 [1]W. Sarlet, T. Mestdag, and G. Prince, “A generalization of Szebehely’s inverse problem of dynamics,” REPORTS ON MATHEMATICAL PHYSICS, vol. 72, no. 1, pp. 65–84, 2013.
@article{4177964, abstract = {The socalled 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 making use of ideas of another inverse problem, namely the inverse problem of the calculus of variations. We critically review and clarify different aspects of the current state of the art of the problem (mainly restricted to the case of planar curves), and then develop our more general approach.}, author = {Sarlet, Willy and Mestdag, Tom and Prince, Geoff}, issn = {00344877}, journal = {REPORTS ON MATHEMATICAL PHYSICS}, keywords = {HELMHOLTZ CONDITIONS,HAMILTONJACOBI THEORY,CALCULUS,EQUATION,TRAJECTORIES,SYSTEMS,FAMILIES,ORBITS,inverse problem of the calculus of variations,inverse problem of dynamics,Szebehely's equation}, language = {eng}, number = {1}, pages = {6584}, title = {A generalization of Szebehely’s inverse problem of dynamics}, volume = {72}, year = {2013}, }