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)

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.