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
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;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987191
