07-147 Heinz Hanßmann
Dynamics of Hamiltonian Systems (492K, PostScript) Jun 20, 07
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Abstract. Hamiltonian systems are a class of dynamical systems which can be characterised by preservation of a symplectic form. This allows to write down the equations of motion in terms of a single function, the Hamiltonian function. They were conceived in the $19$th century to study physical systems varying from optics to frictionless mechanics in a unified way. This description turned out to be particularly efficient for symmetry reduction and perturbation analysis.

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