Multiresolution Representation for Orbital Dynamics in Multipolar Fields
Fedorova, Antonina N. ; Zeitlin, Michael G.
arXiv, 0008045 / Harvested from arXiv
Text on arXiv
We present the applications of variation -- wavelet analysis to polynomial/rational approximations for orbital motion in transverse plane for a single particle in a circular magnetic lattice in case when we take into account multipolar expansion up to an arbitrary finite number and additional kick terms. We reduce initial dynamical problem to the finite number (equal to the number of n-poles) of standard algebraical problems. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.
Publié le : 2000-08-13
Classification:  Physics - Accelerator Physics,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons,  Physics - Computational Physics 
@article{0008045,
     author = {Fedorova, Antonina N. and Zeitlin, Michael G.},
     title = {Multiresolution Representation for Orbital Dynamics in Multipolar Fields},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008045}
}

Fedorova, Antonina N.; Zeitlin, Michael G. Multiresolution Representation for Orbital Dynamics in Multipolar Fields. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008045/