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

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Abstract

The two time variable method is used to investigate the stability of and the motion about the equilibrium point of an autonomous Hamiltonian system of two degrees of freedom when the HamiltonianH is indefinite and the relation between the frequencies ω1 and ω2 of the linearized system is ω1 ≈ 2ω2. Also, the conditions for periodic orbits and the stability of these orbits are obtained.

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Authors and Affiliations

  1. Dept. of Theoretical and Applied Mechanics, Cornell University, 14850, Ithaca, New York

    K. T. Alfriend (Assistant Professor)

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  1. K. T. Alfriend
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Alfriend, K.T. Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability. Celestial Mechanics 3, 247–265 (1971). https://doi.org/10.1007/BF01228038

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