  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, assuming a sinusoidal field variation, we
consider the analytical treatment of the effects of insertion devices on beam
dynamics. We investigate via wavelet approach a dynamical model which has
polynomial nonlinearities and variable coefficients. We construct the
corresponding wavelet representation. As examples we consider wigglers and
undulator magnets. We consider the further modification of our variational
approach which may be applied in each scale.
