PARAMETRIC RESONANCES IN SYNCHROTRONS WITH 2 RF SYSTEMS

Authors
LEE SY CAUSSYN DD ELLISON M HEDBLOM K HUANG H LI D LIU JY NG KY RIABKO A YAN YT
Citation
Sy. Lee et al., PARAMETRIC RESONANCES IN SYNCHROTRONS WITH 2 RF SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(6), 1994, pp. 5717-5721
Citations number
13
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
49
Issue
6
Year of publication
1994
Part
B
Pages
5717 - 5721
Database
ISI
SICI code
1063-651X(1994)49:6<5717:PRISW2>2.0.ZU;2-T
Abstract
When a double rf system is subjected to sinusoidal phase modulation, t he Poincare surfaces of the section display a rich spectrum of resonan ce islands. Stable and unstable fixed points of these resonance island s form a tree of bifurcation branches which can be explained as parame tric resonances generated by external phase modulation. A semianalytic determination of the condition for the bifurcation of fixed points is presented for an autonomous Hamiltonian of one degree of freedom with sinusoidal time dependent perturbation.