On bi-hamiltonian structure of some integrable systems on so*(4)
classification
🌊 nlin.SI
math-phmath.MP
keywords
somesystemsbi-hamiltonianbi-integrablecanonicalclassifyconstructedcorresponding
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We classify all the quadratic Poisson structures on $so^*(4)$ and $e^*(3)$, which have the same foliation by symplectic leaves as the canonical Lie-Poisson tensors. The separated variables for the some of the corresponding bi-integrable systems are constructed.
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