Abstract
Hamiltonian perturbation theory is usually formulated with reference to systems defined in a product space B × T m endowed with a system of action-angle coordinates I ∈ B,φ ∈ T m, where B is an open set in R m. This is essentially a ‘local’ formulation since the phase space of an integrable Hamiltonian system can easily fail to have such a product structure in the large, and correspondingly there exists no single ‘global’ system of action-angle coordinates.
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Fassò, F. (1994). Perturbation Theory for Systems without Global Action-Angle Coordinates. In: Seimenis, J. (eds) Hamiltonian Mechanics. NATO ASI Series, vol 331. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0964-0_19
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DOI: https://doi.org/10.1007/978-1-4899-0964-0_19
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