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On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom |
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| Authors: | Jaume Llibre Luis Fernando Mello |
| Affiliation: | 1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Spain;2. Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903, Itajubá, MG, Brazil |
| Abstract: | We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential. |
| Keywords: | 37G15 34C29 34C25 |
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