Geodesic
Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point
Matematičeskie zametki, Tome 55 (1994) no. 5, pp. 88-97 
L. M. Lerman; Ya. L. Umanskii. Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point. Matematičeskie zametki, Tome 55 (1994) no. 5, pp. 88-97. http://geodesic.mathdoc.fr/item/MZM_1994_55_5_a8/
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     title = {Isoenergetic classification of integrable {Hamiltonian} systems in a neighborhood of a simple elliptic point},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1994_55_5_a8/}
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[1] Arnold V. I., Matematicheskie metody klassicheskoi mekhaniki, Fizmatgiz, M., 1974

[2] Lerman L. M., Umanskii Ya. L., “Integriruemye gamiltonovy sistemy i puassonovskie deistviya”, Metody kachestv. teorii diff. ur-i, ed. E. A. Leontovich-Andronova, Gork. un-t, Gorkii, 1984, 126–139 | MR

[3] Lerman L. M., Umanskii Ya. L., “O klassifikatsii chetyrekhmernykh gamiltonovykh sistem v rasshirennykh okrestnostyakh prostykh osobykh tochek”, Metody kachestv. teorii bifurk., ed. E. A. Leontovich-Andronova, Gork. un-t, Gorkii, 1988, 67–75

[4] Kushnirenko A. M., “Analiticheskoe deistvie poluprostoi gruppy Li v okrestnosti nepodvizhnoi tochki ekvivalentno lineinomu”, Funktsion. analiz i ego pril., 1:1 (1967), 103–104 | MR | Zbl

[5] Lerman L. M., Umanskii Ya. L., “Izoenergeticheskaya klassifikatsiya chetyrekhmernykh integriruemykh gamiltonovykh sistem i puassonovskikh deistvii $\mathbb R^2$ v rasshirennykh okrestnostyakh prostykh osobykh tochek. I”, Matem. sb., 183:12 (1992), 141–176 | MR | Zbl

[6] Eliasson L. H., “Normal forms for Hamiltonian systems with Poisson commuting integrals-elleptic case”, Comment. Math. Helv., 68 (1990), 4–35 | DOI | MR

[7] Vey J., “Sur sertains systemes dynamiques separables”, Amer. J. Math., 100 (1978), 591–614 | DOI | MR | Zbl

[8] Milnor D., Teoriya Morsa, Mir, M., 1965

[9] Hirsch M., Pudh C., Shub M., Invariant manifolds, Lect. Notes in Math., 583, Springer

[10] Ito H., “Action-angle coordinates at singularities for analytic integrable systems”, Math. Z., 206 (1991), 363–407 | DOI | MR | Zbl