Perturbed ion traps: A generalization of the three-dimensional Henon-Heiles problem.

  1. Lanchares, V. 1
  2. Pascual, A.I. 1
  3. Palacián, J. 2
  4. Yanguas, P. 2
  5. Salas, J.P. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

Revista:
Chaos

ISSN: 1054-1500

Año de publicación: 2002

Volumen: 12

Número: 1

Páginas: 87-99

Tipo: Artículo

DOI: 10.1063/1.1449957 SCOPUS: 2-s2.0-0036489720 WoS: WOS:000174181900011 GOOGLE SCHOLAR

Otras publicaciones en: Chaos

Resumen

This paper presents an analytical study of an axially symmetric perturbation of the Penning trap. This system is modeled as a generalization of the three-dimensional (3D) Hénon-Heiles potential. Thus, the same techniques which succeeded in the study of the 3D Hénon-Heiles system apply here. The departure Hamiltonian is three dimensional, although it possesses an axial symmetry. This property, together with an averaging process, is used to reduce the original system to an integrable one. We study the flow of the reduced Hamiltonian: equilibria, bifurcations, and stability, extracting thereafter the relevant information about the dynamics of the original problem. © 2002 American Institute of Physics.