Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions | Zendy

Fedorova A. | Zendy; Zeitlin M. | Zendy

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Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions

Author(s) -

Fedorova A.,

Zeitlin M.

Publication year - 2002

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/1617-7061(200203)1:1<432::aid-pamm432>3.0.co;2-j

Subject(s) - nonlinear system , normal mode , classical mechanics , phase space , convergence (economics) , equations of motion , dynamical systems theory , physics , space (punctuation) , work (physics) , motion (physics) , statistical physics , mathematical analysis , mathematics , computer science , vibration , quantum mechanics , economics , economic growth , operating system

The consideration of dynamics of relativistic beams/particles is based on a variational approach to rational (in dynamical variables) approximations for equations of motions. It allows to control contributions from each scale of underlying multiscales and represents solutions via exact nonlinear eigenmode expansions. Our approach is based on methods providing possibility to work with well‐localized bases in phase space and good convergence properties of the corresponding expansions.

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