@article{VMUMM_2015_1_a11,
author = {D. A. Fedoseev},
title = {Bifurcation diagrams of natural {Hamiltonian} systems on {Bertrand} manifolds},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {62--65},
year = {2015},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a11/}
}
D. A. Fedoseev. Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 62-65. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a11/
[1] Zagryadskii O.A., Kudryavtseva E.A., Fedoseev D.A., “Obobschenie teoremy Bertrana na poverkhnosti vrascheniya”, Matem. sb., 203:8 (2012), 39–78 | DOI | MR | Zbl
[2] Fomenko A.T., “The integrability of some Hamiltonian systems”, Ann. Global Anal. and Geom., 1:2 (1983), 1–10 | DOI | MR | Zbl
[3] Trofimov V.V., Fomenko A.T., “Liouville integrability of Hamiltonian systems on Lie algebras”, Russ. Math. Surveys, 39:2 (1984), 1–67 | DOI | MR | Zbl
[4] Fomenko A.T., “The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability”, Math. USSR Izvestija, 29:3 (1987), 629–658 | DOI | Zbl
[5] Bertrand J., “Théorème relatif au mouvement d'un point attire vers un centre fixe”, C. r. Acad. sci. Paris, 77 (1873), 849–853 | Zbl
[6] Darboux G., “Sur un probléme de mécanique”: Despeyrous T., Cours de mécanique, Note XIV, v. 2, A. Herman, P., 1886, 461–466