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math.SG2002
A note on the KAM theorem for partially integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We provide a symplectic reduction of a partially integrable Hamiltonian system to a completely integrable one. The KAM theorem is applied to this reduced completely integrable Hami…
math.SG2002
Recursion operators between degenerate Poisson structures
G. Sardanashvily
Two degenerate Poisson structures of the same rank possess a recursion operator if and only if their characteristic distributions coincide.