RESONANCE BASIS MAPS AND nPB TRACKING FOR DYNAMIC APERTURE STUDIES

Lie Algebraic methodsl implemented with truncated power series algebra packages2 or libraries,3 have become important in nonlinear single-particle dynamics studies.4 Algorithms for nonlinear normal forms5 and one-turn map tracking, such as kick factorization and integrable polynomial factorization,7 have been becoming common numerical practices. Much progress has been made in the one-turn map tracking during the last decade — formerly regarded as “impossible” to a first successful demonstrations and then to a more thorough exploration for the kick factorization and the implicit map.10 In this article, we outline procedures used for PEP-II electron ring lattice studies using recently developed resonance basis mapsll and nPB tracking .12