2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84166We present the applications of wavelet analysis methods in constrained variational framework to calculation of dynamical aperture. We construct represention via exact nonlinear high-localized periodic eigenmodes expansions, which allows to control contribution to motion from each scale of underlying multiscale structure and consider qualitative approach to the problem.3 pages, 1 figure, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001Accelerator PhysicsMathematical PhysicsChaotic DynamicsComputational PhysicsQuantum Physicstext