Open AccessNONLINEAR DYNAMICS OF ONE-DIMENSIONAL CRYSTALLINE BEAM (Ⅲ)
Author(s) -
M. Shao,
I. Hofmann,
Shijun Luo
Publication year - 1990
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.39.25-2
Subject(s) - nonlinear system , beam (structure) , ion , dynamics (music) , physics , stability (learning theory) , equations of motion , electron , atomic physics , classical mechanics , quantum mechanics , optics , machine learning , computer science , acoustics
In the linear approximation the effects of periodic cooling and electron screening have been discussed, the equation of motion for ions has been reduced to the well-know Mathieus equation. Stability of the system and dynamical behaviour of cross over resonances by ions have been discussed also. Taking ESR at GS1 in FRG as example, the characteristic time for cross over resonances and the cooling time for the beam have been derived.