Periodic orbits in a dynamical system with three degrees of freedom |
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| Authors: | Emmanuel Davoust |
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| Institution: | 1. Equipe de Recherche Associée No. 07904, Observatoire de Besan?on, 41 bis Avenue de l'Observatoire, F-25000, Besan?on, France
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| Abstract: | We use the analytical method of Lindstedt to make an inventory of the regular families of periodic orbits and to obtain approximate analytical solutions in a three-dimensional harmonic oscillator with perturbing cubic terms. We compare these solutions to the results of numerical computations at a specific orbital resonance. |
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