Geodesic
Integer lattices of the action variables for the generalized Lagrange case
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 54-58 
E. O. Kantonistova. Integer lattices of the action variables for the generalized Lagrange case. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 54-58. http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a8/
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     title = {Integer lattices of the action variables for the generalized {Lagrange} case},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we construct lattices generated by integer-valued isolines of action variables of some integrable Hamiltonian systems with two degrees of freedom (generalized Lagrange case). The monodromy matrices for critical points of this system are calculated.

[1] Bolsinov A.V., Fomenko A.T., Integriruemye gamiltonovy sistemy, Izdatelskii dom “Udmurtskii universitet”, Izhevsk, 1999 | MR

[2] Fomenko A.T., “Topologicheskie invarianty gamiltonovykh sistem, integriruemykh po Liuvillyu”, Funkts. analiz i ego pril., 22:4 (1988), 38–51 | MR

[3] Mischenko A.S., Fomenko A.T., “Obobschennyi metod Liuvillya integrirovaniya gamiltonovykh sistem”, Funkts. analiz i ego pril., 12 (1978) | MR

[4] Bolsinov A.V., Matveev V.S., Fomenko A.T., “Dvumernye rimanovy metriki s integriruemym geodezicheskim potokom. Lokalnaya i globalnaya geometriya”, Matem. sb., 189:10 (1998), 5–32 | DOI

[5] Zhilinskii B., “Interpretation of quantum Hamiltonian monodromy in terms of lattice defects”, Acta Appl. Math., 87 (2005), 281–307 | DOI | MR

[6] Orel O.E., Takakhashi Sh., “Traektornaya klassifikatsiya integriruemykh zadach Lagranzha i Goryacheva–Chaplygina metodami kompyuternogo analiza”, Matem. sb., 187:1 (1996), 95–112 | DOI | MR