Perturbation method in the theory of nonlinear oscillations |
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| Authors: | Ahmed Aly Kamel |
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| Institution: | (1) Dept. of Aeronautics and Astronautics, Stanford University, Stanford, Calif., U.S.A. |
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| Abstract: | Asymptotic recurrence formulas for treating nonlinear oscillation problems are presented. These formulas are based on a Lie transform similar to that described by Deprit for Hamiltonian systems. It is shown that the basic formulas have essentially the same forms as those obtained by Deprit and by the present author in the Hamiltonian case. |
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