A note on uniqueness of the normal form for quasi-integrable systems (Q1205934)
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scientific article; zbMATH DE number 148337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on uniqueness of the normal form for quasi-integrable systems |
scientific article; zbMATH DE number 148337 |
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A note on uniqueness of the normal form for quasi-integrable systems (English)
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1 April 1993
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The paper provides a proof of the fact that at non-resonant actions the normal form for a quasi-integrable Hamiltonian system, as defined by von Zeipel-Poincaré and Lie perturbation algorithms is unique. The proof is based upon analyticity and therefore it overcomes some algebraic difficulties.
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quasi-integrable systems
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Hamiltonian perturbation theory
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Lie algorithm
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measure zero
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formal power series
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trigonometric polynomials
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Fourier components
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