Topics in nonhamiltonian (magnetic-type) interaction of classical hamiltonian dynamical systems. I

Details Topics in nonhamiltonian (magnetic-type) interaction of classical hamiltonian dynamical systems. I Topics in nonhamiltonian (magnetic-type) interaction of classical hamiltonian dynamical systems. I

1995-05-05

arxiv.org/abs/solv-int/9505001v2

Russian J.Math.Phys.3(4)(1995)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

AMSTEX 9 pages, a slightly revised version

Scientific paper

A convenient algebraic structure to describe some forms of dynamics of two hamiltonian systems with nonpotential (magnetic--type) interaction is considered. An algebraic mechanism of generation of such dynamics is explored on simple "toy" examples and models. Nonpotential chains and their continuum limits are also considered. Examples of hybrid couplings with both potential and nonpotential (magnetic--type) interactions are discussed.

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