2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/83919We present applications of variational -- wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-Maxwell-Poisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bases. Numerical modelling demonstrates formation of coherent structures and stable patterns.12 pages, 7 figures, ws-p8-50x6-00.cls, presented at Capri ICFA Workshop, October, 2000, replaced Fig.1Accelerator PhysicsMathematical PhysicsPattern Formation and SolitonsComputational PhysicsQuantum Physicstext