  We 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.
