95-538 Juriev D.V.

Topics in nonHamiltonian (magnetic--type) interaction of classical Hamiltonian dynamical systems. II. Generalized Euler--Amp\`ere equations and Biot--Savart operators. (44K, AMSTEX) Dec 20, 95

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Abstract. The paper is devoted to the algebraico--analytic presentation of the Euler--Amp\`ere dynamical equations for two magnetically interacting massive systems (the charged Euler tops) and their generalizations. The interaction dynamics is based on the algebraic structure of isotopic pairs, which underlies the noncanonical version of Poisson brackets depending explicitely on the states of the acting system.

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