INTEGRABLE NONLINEAR ACCELERATOR LATTICES

A method for creating integrable nonlinear accelerator lattices is pre sented. Fixed points for the two-dimensional return map corresponding to the lattice are found. Minimizing the residues (an indicator of the size of the associated island) of these fixed points by varying latti ce parameters eliminates large islands and regions of chaos. The resul ting nonlinear systems have larger dynamical apertures and are more st able to perturbations induced by, for example, error fields.