Notes on transformations in non-linear systems |
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Affiliation: | Department of Astronomy, Nanjing University China |
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Abstract: | A comparative examination from the practical point of view is made of the methods of simultaneous elimination of fast and slow variables, accelerated elimination, and the non-canonical Lie transformation, that have been proposed in the literature. A non-canonical transformation defined by implicit functions is given and shown to be simpler than the Lie transformation. |
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