Invariant incompatible Poisson structures
1995 ◽
Vol 450
(1940)
◽
pp. 723-730
◽
Keyword(s):
Supplemental invariant Poisson structures P c which are incompatible with the original Poisson structure P 1 are discovered for an arbitrary completely integrable Hamiltonian system. For the non-degenerate case, the complete classification of the invariant Poisson structures P c is obtained provided that the invariant submanifolds of the integrable Hamiltonian system are compact. The instability of the property of compatibility of any supplemental invariant non-degenerate Poisson structure P 2 with P 1 is established.
2016 ◽
pp. 277-284
◽
1985 ◽
Vol 12
(2)
◽
pp. 250-255
◽
1972 ◽
Vol 5
(4)
◽
pp. 280-287
◽
2004 ◽
Vol 01
(03)
◽
pp. 167-183
◽
1977 ◽
Vol 38
(21)
◽
pp. 1175-1178
◽
1996 ◽
Vol 37
(6)
◽
pp. 2863-2871
◽
1987 ◽
Vol 10
(1)
◽
pp. 77-86
◽
2003 ◽
Vol 171
◽
pp. 127-161
◽
2004 ◽
Vol 11
(sup1)
◽
pp. 122-129
2014 ◽
Vol 25
(02)
◽
pp. 1450016
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