A geometric view of Hamiltonian perturbation theory
نویسندگان
چکیده
منابع مشابه
Geometric View of Hamiltonian Perturbation Theory
The variational formulation for Lie-transform Hamiltonian perturbation theory is presented in terms of an action functional defined on a two-dimensional parameter space. A fundamental equation in Hamiltonian perturbation theory is shown to result from the freedom of choice of the integration path for the action functional.
متن کاملHamiltonian Perturbation Theory
The variational formulation for Lie-transform Hamiltonian perturbation theory is presented in terms of an action functional defined on a two-dimensional parameter space. A fundamental equation in Hamiltonian perturbation theory is shown to result from the freedom of choice of the integration path for the action functional.
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A comparative discussion of the normal form and action angle variable method is presented in a tutorial way. Normal forms are introduced by Lie series which avoid mixed variable canonical transformations. The main interest is focused on establishing a third integral of motion for the transformed Hamiltonian truncated at finite order of the perturbation parameter. In particular, for the case of ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2001
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(01)00722-8