Action-angle coordinates for time-dependent completely integrable Hamiltonian systems

Details Action-angle coordinates for time-dependent completely integrable Hamiltonian systems Action-angle coordinates for time-dependent completely integrable Hamiltonian systems

2002-04-11

arxiv.org/abs/math/0204151v4

Mathematics

Dynamical Systems

9 pages

Scientific paper

10.1088/0305-4470/35/29/102

A time-dependent completely integrable Hamiltonian system is proved to admit
the action-angle coordinates around any regular instantly compact invariant
manifold. Written relative to these coordinates, its Hamiltonian and first
integrals are functions only of action coordinates.

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