Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion
Fedorova, Antonina N. ; Zeitlin, Michael G.
arXiv, 0101007 / Harvested from arXiv
Text on arXiv
We present applications of variational -- wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-Maxwell-Poisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bases. Numerical modelling demonstrates formation of coherent structures and stable patterns.
Publié le : 2000-12-31
Classification:  Physics - Accelerator Physics,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons,  Physics - Computational Physics,  Quantum Physics 
@article{0101007,
     author = {Fedorova, Antonina N. and Zeitlin, Michael G.},
     title = {Localized Coherent Structures and Patterns Formation in Collective
  Models of Beam Motion},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0101007}
}

Fedorova, Antonina N.; Zeitlin, Michael G. Localized Coherent Structures and Patterns Formation in Collective
  Models of Beam Motion. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0101007/