First-order resonances in three-degrees-of-freedom systems |
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Authors: | Els van der Aa |
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Affiliation: | 1. Mathematisch Instituut, Rijksuniversiteit Utrecht, 3508 TA, Utrecht, The Netherlands
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Abstract: | Hamiltonian systems with three degrees of freedom which have a resonance-ratio 1∶2∶ω with ω=1, 2, 3, or 4 are studied here. The periodic orbits are determined together with their stability characteristics. Furthermore we shall study the fundamental question of asymptotic integrability of these systems. |
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