Multiple-parameter Lie transform |
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Authors: | M. K. M. Ahmed |
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Affiliation: | (1) Astronomy and Meteorological Dept., Faculty of Science, Cairo University, Giza, Cairo, Egypt |
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Abstract: | A method is developed to construct a Lie transform in the multiple-parameter case; a generalization of Deprit's, Henrard's, and Varadi's methods. The details of the theoretical developments are given for the case of three different parameters. A simple approach is suggested to reduce the case ofn parameters to that of the one parameter case. |
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