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Commutative families of functions related to consistent Poisson brackets

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Abstract

A study is made concerning families of consistent Poisson brackets in the setting of completely integrable Hamiltonian systems. A method is presented for verifying completeness of systems of commuting first integrals.

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Bolsinov, A.V. Commutative families of functions related to consistent Poisson brackets. Acta Appl Math 24, 253–274 (1991). https://doi.org/10.1007/BF00047046

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