DocumentCode
377473
Title
The short-term dynamical aperture via variational-wavelet approach with constraints
Author
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution
IPME, Acad. of Sci., St. Petersburg, Russia
Volume
3
fYear
2001
fDate
2001
Firstpage
1811
Abstract
We present the applications of wavelet analysis methods in constrained variational framework to calculation of dynamical aperture. We construct represention via exact nonlinear high-localized periodic eigenmodes expansions, which allows to control contribution to motion from each scale of underlying multiscale structure and consider qualitative approach to the problem
Keywords
accelerator control systems; particle beam dynamics; particle beam stability; variational techniques; wavelet transforms; Arnold diffusion; constrained variational framework; control contribution; harmonic representation; multiscale structure; nonlinear high-localized periodic eigenmodes expansions; particle losses; quasiperiodic orbits; short-term dynamical aperture; stochastic motion; variational-wavelet approach; Apertures; Chaos; Continuous wavelet transforms; Fractals; Orbits; Periodic structures; Stochastic processes; Wavelet analysis; Wavelet coefficients; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location
Chicago, IL
Print_ISBN
0-7803-7191-7
Type
conf
DOI
10.1109/PAC.2001.987191
Filename
987191
Link To Document