A. FEDOROVA*, M. ZEITLIN (IPME RAS)
We present applications of methods from nonlinear(local) Fourier analysis or wavelet analysis to a number of nonlinear accelerator physics problems. This is continuation of our results which were presented on PAC97/99, EPAC98/00. Our approach is based on methods provided 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. Consideration of Vlasov-Maxwell models is based on a number of anzatzes, which reduce initial problems to a number of dynamical systems and on variational-wavelet approach to polynomial/rational approximations for nonlinear dynamics. This approach allows us to control contribution to dynamical behaviour from each scale of underlying multiresolution expansion.
1.Nonlinear Accelerator Problems via Wavelets, parts 1-8, Proc.PAC99, IEEE, 1614,1617,1620,2900,2903,2906,2909,2912. 2.American Institute of Physics, Conf. Proc., vol. 468, Nonlinear and Collective Phenomena in Beam Physics, pp. 48-68, 69-93, 1999 3.Variational-Wavelet Approach to RMS Envelope Equations Los Alamos, physics/0003095
*e-mail: email@example.com, http://www.ipme.ru/zeitlin.html
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