Title :
Nonlinear accelerator problems via wavelets. VIII. Invariant bases, loops and KAM
Author :
Fedorova, A. ; Zeitlin, M.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
Abstract :
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 variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT
Keywords :
particle accelerators; particle beam dynamics; polynomial approximation; variational techniques; wavelet transforms; KAM theory; accelerator physics problems; fast wavelet transform; invariant bases; loops; nonlinear accelerator problems; polynomial approximations; semidirect product; variational wavelet approach; wavelet analysis; Chaos; Differential equations; Filters; Mirrors; Physics; Polynomials; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792980
