Perturbation Theory for Systems without Global Action-Angle Coordinates

  • Francesco Fassò
Part of the NATO ASI Series book series (NSSB, volume 331)


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 IB,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.


Normal Form Action Space Hamilton Function Invariant Tori Integrable Hamiltonian System 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Francesco Fassò
    • 1
  1. 1.Dipartimento di Matematica dell’ UniversitàTrentoItaly

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