Sum betatron resonances under linear coupling of oscillations

P.N. Chirkov, I.I. Petrenko
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