Geodesic
On the Hamiltonian property of an arbitrary evolution system on the set of stationary points of its integral
Izvestiya. Mathematics , Tome 31 (1988) no. 3, pp. 657-664

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The Bogoyavlenskii–Novikov principle concerning the connection between stationary and nonstationary problems is generalized. It is proved that an arbitrary evolution system is Hamiltonian on the set of stationary points of its local integral. Bibliography: 16 titles. 
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     author = {O. I. Mokhov},
     title = {On the {Hamiltonian} property of an arbitrary evolution system on the set of stationary points of its integral},
     journal = {Izvestiya. Mathematics },
     pages = {657--664},
     publisher = {mathdoc},
     volume = {31},
     number = {3},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_3_a10/}
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O. I. Mokhov. On the Hamiltonian property of an arbitrary evolution system on the set of stationary points of its integral. Izvestiya. Mathematics , Tome 31 (1988) no. 3, pp. 657-664. http://geodesic.mathdoc.fr/item/IM2_1988_31_3_a10/