Geodesic
Classical Integrable Mechanical Systems and Their Integrable Perturbations
Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 153 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Perturbation technic for constructing new integrable systems which are close to the most celebrated integrable systems in classical mechanics are developed. Analytical conditions for the periodicity of billiard trajectories with the ellipsoid are given, generalizing the Cayley condition for the Poncelet Theorem.
Classification : 58F05 
@article{PIM_1998_N_S_64_78_a12,
     author = {Vladimir Dragovi\'c},
     title = {Classical {Integrable} {Mechanical} {Systems} and {Their} {Integrable} {Perturbations}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {153 },
     year = {1998},
     volume = {_N_S_64},
     number = {78},
     zbl = {0999.37038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a12/}
}
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Vladimir Dragović. Classical Integrable Mechanical Systems and Their Integrable Perturbations. Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 153 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a12/