Nonlinear analysis of perturbed ion traps

This paper presents an analytical study of a perturbed ion trap. Various techniques are combined in order to extract information about the evolution of the system. The problem is modelled by an axially–symmetric–three–degree–of–freedom Hamiltonian. Normalization plus reduction lead to an integrable system whose flow is analyzed. Finally a qualitative relationship between the flow associated to the integrable system and the one attached to the original Hamiltonian is established. � �