2000/08/13 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Engineering · Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Pattern Formation and Solitons (nlin.PS) #Planetary Science and Exploration #math-ph #math.MP #nlin.PS #physics.acc-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/0008045
3 pages, 3 figures, JAC2000.cls, Proc. European Particle Accelerator Conf., EPAC00, Vienna, 2000
arxiv created 2000/08/13 · openalex publication_date 2000/08/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the applications of variation -- wavelet analysis to polynomial/rational approximations for 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 and additional kick terms. We reduce initial dynamical problem to the finite number (equal to the number of n-poles) of standard algebraical problems. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.