CHAOTIC DYNAMICS INDUCED BY SPACE-CHARGE WAVES IN CYCLOTRON-RESONANCEACCELERATORS

In this work, we analyze the effects produced by the inclusion of spac e-charge waves in a Hamiltonian model for a cyclotron resonant acceler ator. We find that space charges impose limits on acceleration and tha t these limits appear as bounding curves on the appropriate stroboscop ic phase spaces. In addition, space charges create nonlinearly locked states which undergo not only the period doubling bifurcations precedi ng chaos, but saddle-node inverse bifurcations as well.