6 papers · 1 filter
Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions
Antonina N. Fedorova, Michael G. Zeitlin
The consideration of dynamics of relativistic beams/particles is based on variational approach to rational (in dynamical variables) approximation for equations of motions. It allow…
RMS/Rate Dynamics via Localized Modes
Antonina N. Fedorova, Michael G. Zeitlin
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…
Multiscale Decomposition for Vlasov-Poisson Equations
Antonina N. Fedorova, Michael G. Zeitlin
We consider the applications of a numerical-analytical approach based on multiscale variational wavelet technique to the systems with collective type behaviour described by some fo…
Fast Calculation Methods in Collective Dynamical Models of Beam/Plasma Physics
Antonina N. Fedorova, Michael G. Zeitlin
We consider an application of modification of our variational-wavelet approach to some nonlinear collective model of beam/plasma physics: Vlasov/Boltzmann-like reduction from gener…
From Localization to Stochastics in BBGKY Collective Dynamics
Antonina N. Fedorova, Michael G. Zeitlin
Fast and efficient numerical-analytical approach is proposed for modeling complex collective behaviour in accelerator/plasma physics models based on BBGKY hierarchy of kinetic equa…
Localization and Coherent Structures in Wave Dynamics via Multiresolution
Antonina N. Fedorova, Michael G. Zeitlin
We apply variational-wavelet approach for constructing multiscale high-localized eigenmodes expansions in different models of nonlinear waves. We demonstrate appearance of coherent…