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AbstractAbstract
[en] In this paper, we generalize the concept of phase advance to non- linear systems. We show how non-linear perturbation theory can be made in a totally Hamiltonian free context. As examples, we give expressions for the computation of first and second order tune shifts, as well as for the canonical transformation responsible for the first order distortions of the invariants. Our reliance on Lie operators allows for a very simple implementation of these methods in the context of an algebraic manipulator. 7 refs
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Feb 1987; 20 p; CONTRACT AC02-89ER40486; NTIS, PC A03/MF A01 as DE90014043; OSTI; INIS; US Govt. Printing Office Dep
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