2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84156We present the applications of nonlinear local harmonic analysis methods to the modelling of beam-beam interaction. Our approach is based on methods provided the possibility to work with dynamical beam localization in phase space. The consideration of Fokker-Planck or Vlasov-Maxwell models is based on a number of anzatzes, which reduce initial problems to a number of dynamical systems (with constraints) and on variational-wavelet approach to polynomial/rational approximations for reduced nonlinear dynamics. We calculate contribution to full dynamics (partition function) from all underlying subscales via nonlinear eigenmodes decomposition.3 pages, 4 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001Accelerator PhysicsMathematical PhysicsPattern Formation and SolitonsComputational PhysicsQuantum Physicstext