2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/83636We present applications of variational -- wavelet approach to nonlinear (rational) rms envelope dynamics. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.3 pages, 4 figures, JAC2000.cls, Proc. European Particle Accelerator Conf., EPAC00, Vienna, 2000Accelerator PhysicsMathematical PhysicsAdaptation and Self-Organizing SystemsComputational Physicstext