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

Dynamical Systems 2009-11-07 v4 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math/0204151,
  title  = {Action-angle coordinates for time-dependent completely integrable Hamiltonian systems},
  author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
  journal= {arXiv preprint arXiv:math/0204151},
  year   = {2009}
}

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9 pages