TITLE
	Zoo of Patterns in Complex Vlasov-Maxwell Dynamics
	
AUTHOR
	Antonina FEDOROVA

ABSTRACT 
	An exact variational/projection approach is proposed for modeling the complex collective 
	behaviour and the propagation of the intense charged particle beams described by 
	different forms of Vlasov-Maxwell equations. We give representations for distribution 
	functions and fields via the multiscale/multiresolution decomposition corresponding to 
	exact expansions into the slow and fast nonlinear high-localized eigenmodes providing the 
	full information about stochastic dynamical process. Numerical modeling shows the 
	creation of different internal structures from localized modes, which are related to 
	stable/unstable type of behaviour and the corresponding patterns (waveletons) formation. 
	Reduced algebraical structure provides the pure algebraical control of 
	stability/unstability  scenario. Various types of patterns (chaotic and localized) are 
	controlled in space of parameters [1].

	[1] A. Fedorova, M. Zeitlin, Classical and Quantum Ensembles via Multiresolution. I. 
	BBGKY Hierarchy; II. Wigner Ensembles; arXiv preprints: quant-ph/0406009, 
	quant-ph/0406010; Nuclear Inst. and Methods in Physics Research, A, 2004, in press.