First-Order Averaging Principles for Maps with Applications to Beam Dynamics in Particle Accelerators

Details First-Order Averaging Principles for Maps with Applications to Beam Dynamics in Particle Accelerators First-Order Averaging Principles for Maps with Applications to Beam Dynamics in Particle Accelerators

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprk16011d&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

We extend the method of averaging at first order to slowly evolving, discrete-time-dependent systems defined by iterative maps. The validity of the averaging approximation is demonstrated using a generalized Besjes inequality. We study both cases of near-to-low-order resonance and far-from-low-order-resonance. We apply our results to localized perturbations of an otherwise linear lattice. In particular we discuss the weak-strong beam--beam effect.

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