The generalized canonical form of Hori's method for non-canonical systems |
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Authors: | S S Fernandes W Sessin |
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Institution: | 1. Departamento de Mecanica do V?o e Orbital, Instituto Tecnológico de Aeronáutica, 12.225, Sao Jose dos Campos-SP, Brazil
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Abstract: | Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables
or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical
system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary
system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system
is no longer necessary. In this paper, we wish to show some peculiarities of this technique. |
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Keywords: | |
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