Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions

Details Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions

2002-06-16

arxiv.org/abs/physics/0206054v2

PAMM, Volume 1, Issue 1, pp. 432-433, Wiley-VCH, 2002

Physics

Accelerator Physics

3 pages, presented at GAMM Meeting, February, 2001, ETH, Zurich; changed margins for printing

Scientific paper

The consideration of dynamics of relativistic beams/particles is based on variational approach to rational (in dynamical variables) approximation for equations of motions. It allows to control contribution from each scale of underlying multiscales and represent solutions via exact nonlinear eigenmodes expansions. Our approach is based on methods provided possibility to work with well-localized bases in phase space and good convergence properties of the corresponding expansions.

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