Stability and motion in two degree of freedom hamiltonian systems for three-to-one commensurability

The stability of the origin and periodic orbits of autonomous Hamiltonian systems in which the Hamiltonian is indefinite and the relation between the frequencies ωP 1 and ω 2 of the linearized system is ω 1≈ 3ω 2 are investigated using the two time variable method. Bounds on the non-periodic motions...

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Bibliographic Details
Published in:International journal of non-linear mechanics 1971-10, Vol.6 (5), p.563-568
Main Author: Alfriend, K.T.
Format: Article
Language:English
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Summary:The stability of the origin and periodic orbits of autonomous Hamiltonian systems in which the Hamiltonian is indefinite and the relation between the frequencies ωP 1 and ω 2 of the linearized system is ω 1≈ 3ω 2 are investigated using the two time variable method. Bounds on the non-periodic motions about the equilibrium point are also obtained.
ISSN:0020-7462
1878-5638
DOI:10.1016/0020-7462(71)90020-5