Stability and motion in two degree of freedom hamiltonian systems for three-to-one commensurability
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abstract
The stability of the origin and periodic orbits of autonomous Hamiltonian systems in which the Hamiltonian is indefinite and the relation between the frequencies P1 and 2 of the linearized system is 1 32 are investigated using the two time variable method. Bounds on the non-periodic motions about the equilibrium point are also obtained. 1971.