2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87786In 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, according to variational approach we obtain a representation for orbital particle motion in storage rings as a multiresolution (multiscales) expansion in the base of well-localized in phase space wavelet basis. By means of this "wavelet microscope" technique we can take into account contribution from each scale of resolution.LaTeX2e, 3 pages, 1 figure, PAC99.cls, Proceedings PAC99Accelerator PhysicsChaotic DynamicsMathematical PhysicsComputational Physicstext