Nonlinear Dynamical Behaviors of the Equilibrium Longitudinal Distribution by Localized Wakes in an Electron Storage Ring

摘要

We investigate the effects of a localized constant wake and a localizedlinear wake on the longitudinal beam distribution in equilibrium. We alsoexamine the effects of the composite wake on the particle distribution when theconstant wake and linear wake simultaneously exist in the ring. While movingaround the parameter space, the system can show bifurcation phenomena andtransition features between periodic states. We study the dynamical states in abeam, using the multi-particle tracking method in a Gaussian approximation.They show good qualitative agreement.