N. N. Bogolyubov's functional equation and the Lie-Poisson-Vlasov symplectic structure associated with it (Q579711)

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scientific article; zbMATH DE number 4015770
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N. N. Bogolyubov's functional equation and the Lie-Poisson-Vlasov symplectic structure associated with it
scientific article; zbMATH DE number 4015770

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    N. N. Bogolyubov's functional equation and the Lie-Poisson-Vlasov symplectic structure associated with it (English)
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    1986
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    The authors show that Bogolyubov's functional equation is Hamiltonian relative to the Lie-Poisson bracket associated with a ``hierarchical'' Lie algebra which is used in the Hamiltonian description of the BBGKY equations.
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    Poisson-Vlasov bracket
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    Hamiltonian structure
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    Bogolyubov's functional equation
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    Lie-Poisson bracket
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