Issue
EPL
Volume 77, Number 5, March 2007
Article Number 50001
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/77/50001
Published online 15 February 2007
EPL, 77 (2007) 50001
DOI: 10.1209/0295-5075/77/50001

On the stability of the rectilinear motions in the sextupole rf trap

C. M. Niculae

Faculty of Physics, University of Bucharest, Bucharest-Magurele - P.O. Box MG11, 077125, Romania


received 3 October 2006; accepted in final form 3 January 2007; published March 2007
published online 15 February 2007

Abstract
Constant-phase Poincaré sections were used to assess the stability of rectilinear motions in a sextupole rf trap. A simple method for exploring the main domain of stability is proposed. Using numerical algorithms, the nonlinear and nonautonomous motion is analyzed in some interesting regions of the phase space.

PACS
05.45.-a - Nonlinear dynamics and chaos.
52.58.-c - Other confinement methods.
52.65.Cc - Particle orbit and trajectory.

© Europhysics Letters Association 2007