RMS/Rate Dynamics via Localized Modes

Details RMS/Rate Dynamics via Localized Modes RMS/Rate Dynamics via Localized Modes

2002-06-16

arxiv.org/abs/physics/0206052v2

Physics

Accelerator Physics

4 pages, 2 figures, JAC2001.cls, presented at European Particle Accelerator Conference (EPAC02), Paris, June 3-7, 2002; change

Scientific paper

We consider some reduction from nonlinear Vlasov-Maxwell equation to rms/rate equations for second moments related quantities. Our analysis is based on variational wavelet approach to rational (in dynamical variables) approximation. It allows to control contribution from each scale of underlying multiscales and represent solutions via multiscale exact nonlinear eigenmodes (waveletons) expansions. Our approach provides the possibility to work with well-localized bases in phase space and best convergence properties of the corresponding expansions without perturbations or/and linearization procedures.

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