  We present the applications of methods from nonlinear local harmonic analysis
for calculations in nonlinear collective dynamics described by different forms
of Vlasov-Maxwell-Poisson equations. Our approach is based on methods provided
the possibility to work with well-localized in phase space bases, which gives
the most sparse representation for the general type of operators and good
convergence properties. The consideration is based on a number of anzatzes,
which reduce initial problems to a number of dynamical systems and on
variational-wavelet approach to polynomial approximations for nonlinear
dynamics. This approach allows us to construct the solutions via nonlinear
high-localized eigenmodes expansions in the base of compactly supported wavelet
bases and control contribution from each scale of underlying multiscales.
Numerical modelling demonstrates formation of coherent structures and stable
patterns.
