Title :
Nonlinear accelerator problems via wavelets. 7. Invariant calculations in Hamilton problems
Author :
Fedorova, A. ; Zeitlin, M.
Author_Institution :
Acad. of Sci., St. Petersburg, Russia
Abstract :
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this paper we consider invariant formulation of nonlinear (Lagrangian or Hamiltonian) dynamics on semidirect structure (relativity or dynamical groups) and corresponding invariant calculations via CWT
Keywords :
nonlinear dynamical systems; particle beam dynamics; polynomial approximation; wavelet transforms; Hamilton problems; Hamiltonian dynamics; Lagrangian dynamics; accelerator physics problems; continuous wavelet transform; dynamical groups; invariant calculations; invariant formulation; nonlinear accelerator problems; polynomial approximations; relativity; semidirect structure; Algebra; Chaos; Concrete; Continuous wavelet transforms; Equations; Physics; Polynomials; Vectors; Vehicle dynamics; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794200
