2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87793In 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.LaTeX2e, 3 pages, pac99.cls, Proceedings PAC99Accelerator PhysicsChaotic DynamicsMathematical PhysicsComputational Physicstext