A First Order Automated Lie Transform
2015 ◽
Vol 25
(14)
◽
pp. 1540026
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The objective of the present paper is to focus on the problem of the normalization of a Hamiltonian system via the elimination of angle variables involved using the Lie transform technique. The algorithm that we construct assumes that the Hamiltonian is periodic in [Formula: see text] angle variables, with two rates: fast and slow. If the angle variables have the same rate only one transformation is required. The equations needed to evaluate the elements of each transformation and the secular perturbations are constructed.
2019 ◽
Vol 43
(2)
◽
pp. 1163-1182
1977 ◽
Vol 41
(1)
◽
pp. 20-28
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2020 ◽
Vol 30
(09)
◽
pp. 2050126
Keyword(s):
2016 ◽
Vol 26
(11)
◽
pp. 1650180
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2018 ◽
Vol 28
(03)
◽
pp. 1850038