Geodesic
Reduction to normal form of equations of a canonical system depending on a parameter
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 78-81

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A canonical system with the Hamiltonian depending on a parameter is considered in the case of two degrees of freedom. The existence of the canonical transformation which brings the Hamiltonian to the Birkhoff normal form is proved for all values of the parameter when the system has the first integral independent on the integral of the energy. 
@article{VMUMM_1982_3_a18,
     author = {D. A. Onishchenko},
     title = {Reduction to normal form of equations of a canonical system depending on a parameter},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {78--81},
     publisher = {mathdoc},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a18/}
}
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D. A. Onishchenko. Reduction to normal form of equations of a canonical system depending on a parameter. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 78-81. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a18/