Dynamics of a single ion in a perturbed Penning trap: Octupolar perturbation
- Lara, M. 1
- Salas, J.P. 2
- 1 Real Observatorio de la Armada, 11110 San Fernando, Spain
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2
Universidad de La Rioja
info
ISSN: 1054-1500
Año de publicación: 2004
Volumen: 14
Número: 3
Páginas: 763-773
Tipo: Artículo
Otras publicaciones en: Chaos
Resumen
Imperfections in the design or implementation of Penning traps may give rise to electrostatic perturbations that introduce nonlinearities in the dynamics. In this paper we investigate, from the point of view of classical mechanics, the dynamics of a single. ion trapped in a Penning trap perturbed by an octupolar perturbation. Because of the axial symmetry of the problem, the system has two degrees of freedom. Hence, this model is ideal to be managed by numerical techniques like continuation of families of periodic orbits and Poincaré surfaces of section. We find that, through the variation of the two parameters controlling the dynamics, several periodic orbits emanate from two fundamental periodic orbits. This process produces important changes (bifurcations) in the phase space structure leading to chaotic behavior. © 2004 American Institute of Physics.