An improved transformation-elimination technique for the solution of perturbed Hamiltonian systems |
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| Authors: | Robert A Howland Jr |
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| Institution: | (1) Department of Mechanical Engineering, Rose-Hulman Institute of Technology, 47803 Terre Haute, IN, USA |
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| Abstract: | A Lie transformation technique proposed by the author (1977) utilizing an approach due to Kolmogorov and Arnol'd is modified to eliminate the calculation of unproductive terms. Special features of the original method — the ability to eliminate simultaneously both short- and long-period terms, and formal]  quadratic convergence for non-degenerate system sand nearly quadratic convergence for degenerate systems—are retained in an even more efficient technique. Comparisons of the new method with other available Lie transform techniques is made. |
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