Nonlinear analyses of storage ring lattices using one-turn maps

Using normalized one-turn resonance-basis Lie generators in conjunction with an action-angle tracking algorithm (nPB tracking), we have been able to better understand the relationship between the dynamic aperture and lattice nonlinearities. Tunes, tune shifts with amplitude and/or energy, and resonance strengths may be freely changed to probe their individual impact on the dynamic aperture. Fast beam-beam simulations can be performed with the inclusion of nonlinear lattice effects. Examples from studies of the PEP-II lattices are given.