The ubiquity of the symplectic hamiltonian equations in mechanics

Details The ubiquity of the symplectic hamiltonian equations in mechanics The ubiquity of the symplectic hamiltonian equations in mechanics

2008-11-26

arxiv.org/abs/0811.4295v1

Physics

Mathematical Physics

Scientific paper

In this paper, we derive a "hamiltonian formalism" for a wide class of mechanical systems, including classical hamiltonian systems, nonholonomic systems, some classes of servomechanism... This construction strongly relies in the geometry characterizing the different systems. In particular, we obtain that the class of the so-called algebroids covers a great variety of mechanical systems. Finally, as the main result, a hamiltonian symplectic realization of systems defined on algebroids is obtained.

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