  We consider the applications of a numerical-analytical approach based on
multiscale variational wavelet technique to the systems with collective type
behaviour described by some forms of Vlasov-Poisson/Maxwell equations. We
calculate the exact fast convergent representations for solutions in
high-localized wavelet-like bases functions, which correspond to underlying
hidden (coherent) nonlinear eigenmodes. This helps to control
stability/unstability scenario of evolution in parameter space on pure
algebraical level.

Accelerator Physics;Computational Physics;Plasma Physics