1999/04/21 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Chaotic Dynamics (nlin.CD) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Geophysics and Gravity Measurements #Image and Signal Denoising Methods #Mathematical Physics (math-ph) #Statistical and numerical algorithms #chao-dyn #math-ph #math.MP #nlin.CD #physics.acc-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/9904040
LaTeX2e, 3 pages, 2 figures, pac99.cls, Proceedings PAC99
arxiv created 1999/04/21 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider orbital motion in transverse plane for a single particle in a circular magnetic lattice in case when we take into account multipolar expansion up to an arbitrary finite number. We reduce initial dynamical problem to the finite number (equal to the number of n-poles) of standard algebraical problem and represent all dynamical variables via an expansion in the base of periodical wavelets.