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Sum betatron resonances under linear coupling of oscillations
Proceedings Particle Accelerator Conference
The joint effect of an arbitrary sum resonance and a linear coupling resonance Q y Q x = 0 on stability of betatron oscillations in a circular accelerator is studied. The presence of linear coupling is shown to result in splitting of the cluster of sum resonance straight-lines into a family of hyperbolic curves. The analytic results obtained are verified by numerical simulations.
doi:10.1109/pac.1995.505695
fatcat:l3m7gmftf5byjibckb5aof3pfi