Non-integrability in Hamiltonian mechanics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hamiltonian Systems, Non-Integrability

Scientific paper

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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