The Use of Mappings for Stability Problems in Beam Dynamics
نویسنده
چکیده
A review of some stability problems in single-particle dynamics of circular accelerators when the nonlinearities are not negligible is given. The betatron motion is modelized through the discrete formalism of symplectic mappings. Some numerical tools are used to work out the resonance patterns and the relation with long-term stability. A complementary picture is obtained through the perturbative methods of normal forms.
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تاریخ انتشار 2007