Volume 77, Number 5, March 2007
Article Number 50001
Number of page(s) 5
Section General
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

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.

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

© Europhysics Letters Association 2007