97-431 Juriev D.V.
Jordan designs on Lie algebras and nonHamiltonian interaction of Hamiltonian systems (44K, AMSTEX) Aug 6, 97
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Abstract. The paper is devoted to an algebraic stucture of Jordan desings on Lie algebras, which governs some nonHamiltonian interactions of (classical) Hamiltonian systems, and related dynamics. The obtained results allow to suppose that the algebraic machinery of Jordan designs on Lie algebras may be regarded as a potentially effective tool for an analysis of asymptotically almost periodic (quasiperiodic) nonHamiltonian systems.

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