Geodesic
Integrable systems on the sphere with elastic interaction potentials
Matematičeskie zametki, Tome 56 (1994) no. 3, pp. 74-79 
V. V. Kozlov; Yu. N. Fedorov. Integrable systems on the sphere with elastic interaction potentials. Matematičeskie zametki, Tome 56 (1994) no. 3, pp. 74-79. http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a6/
@article{MZM_1994_56_3_a6,
     author = {V. V. Kozlov and Yu. N. Fedorov},
     title = {Integrable systems on the sphere with elastic interaction potentials},
     journal = {Matemati\v{c}eskie zametki},
     pages = {74--79},
     year = {1994},
     volume = {56},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a6/}
}
TY  - JOUR
AU  - V. V. Kozlov
AU  - Yu. N. Fedorov
TI  - Integrable systems on the sphere with elastic interaction potentials
JO  - Matematičeskie zametki
PY  - 1994
SP  - 74
EP  - 79
VL  - 56
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a6/
LA  - ru
ID  - MZM_1994_56_3_a6
ER  - 
%0 Journal Article
%A V. V. Kozlov
%A Yu. N. Fedorov
%T Integrable systems on the sphere with elastic interaction potentials
%J Matematičeskie zametki
%D 1994
%P 74-79
%V 56
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a6/
%G ru
%F MZM_1994_56_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Mozer Yu., “Nekotorye aspekty integriruemykh gamiltonovykh sistem”, UMN, 36:5, 109–151

[2] Veselov A. P., Confocal Surfaces and Integrable Billiards on the Sphere and in the Lobachevsky Space, Preprint, Forschungsinstitute für Mathematik, Zürich

[3] Slawianowski J., “Bertrand systems on $SO(3,\mathbb R)$ and $SU(2)$”, Bull. L'Acad. Polonaise Sci., XXVIII:2 (1920), 83–94 | MR

[4] Kozlov V., Harin A., “Kepler's Problem in Constant Curvature Spaces”, Celest. Mech. and Dynam. Astron., 54 (1992), 393–399 | DOI | MR | Zbl

[5] Kozlov V. V., “O dinamike v prostranstvakh postoyannoi krivizny”, Vestnik MGU. Ser. matem., mekh. (to appear)

[6] Yakobi K., Lektsii po dinamike, Gostekhizdat, M.–L., 1936

[7] Uitteker E. T., Analiticheskaya dinamika, Gostekhizdat, M.–L., 1937

[8] Dubrovin B. A., “Teta-funktsii i nelineinye uravneniya”, UMN, 36:2 (1981), 11–80 | MR | Zbl