ANALYSIS OF RESONANCES IN ACTION SPACE FOR SYMPLECTIC MAPS

Authors
BAZZANI A BONGINI L TURCHETTI G
Citation
A. Bazzani et al., ANALYSIS OF RESONANCES IN ACTION SPACE FOR SYMPLECTIC MAPS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 1178-1180
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
1
Year of publication
1998
Pages
1178 - 1180
Database
ISI
SICI code
1063-651X(1998)57:1<1178:AORIAS>2.0.ZU;2-X
Abstract
The network of resonances in the action plane for a four-dimensional m ap is obtained by computing the actions from the Fourier coefficients of the orbits, and it is compared with the results of Birkhoff normal forms. This method, which combines the positive features of standard f requency analysis and normal forms, is suitable to study the one turn map of a particle accelerator.