An accelerated elimination technique for the solution of perturbed Hamiltonian systems |
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| Authors: | Robert A Howland Jr |
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| Institution: | (1) Dept. of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, N.C., USA |
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| Abstract: | A new technique is developed for the formal solution of non-degenerate or degenerate Hamiltonian systems under periodic perturbation through continually accelerated elimination of the periodic terms. Special features of the method are the ability to eliminate both short-period and longperiod variables simultaneously and the attainment of formal]  quadratic convergence for non-degenerate systems and nearly quadratic convergence in degenerate cases. The technique utilizes Lie transforms and is based on an approach due to Kolmogorov and Arnol'd. |
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