Geodesic
Geometric formalism of classical dynamics. Canonical primitives
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 85-95 
Ya. V. Tatarinov. Geometric formalism of classical dynamics. Canonical primitives. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 85-95. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a13/
@article{VMUMM_1983_4_a13,
     author = {Ya. V. Tatarinov},
     title = {Geometric formalism of classical dynamics. {Canonical} primitives},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {85--95},
     year = {1983},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new proof of the Darboux theorem is given using the techniques of Porsson brackets. A concept of a primitive of a canonical transformation is introduced and studied.