Abstract
We review theorems for proving non-integrability of Hamiltonian dynamical systems, which are based on properties of the variational equations in real or complex time or on the destruction of the resonant tori of an integrable system under a perturbation.
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Ichtiaroglou, S. Non-integrability in Hamiltonian mechanics. Celestial Mech Dyn Astr 65, 21–31 (1996). https://doi.org/10.1007/BF00048436
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DOI: https://doi.org/10.1007/BF00048436