On the Hénon-Heiles system in three dimensions: The role of the axial symmetry

  1. Ferrer, S. 3
  2. Palacián, J. 1
  3. San Juan, J.F. 2
  4. Viartola, A. 3
  5. Yanguas, P. 1
  1. 1 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

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Journal:
Physics Letters, Section A: General, Atomic and Solid State Physics

ISSN: 0375-9601

Year of publication: 1997

Volume: 228

Issue: 4

Pages: 255-260

Type: Article

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DOI: 10.1016/S0375-9601(97)00110-2 SCOPUS: 2-s2.0-0000039278 WoS: WOS:A1997WT64100009 GOOGLE SCHOLAR

More publications in: Physics Letters, Section A: General, Atomic and Solid State Physics

Abstract

In the Hénon and Heiles Hamiltonian in three dimensions we study the influence of the integral A on its dynamics. We treat the system as a perturbed isotropic oscillator in 1-1-1 resonance. The existence of ellipses as simple periodic orbits is established. We find relative equilibria and bifurcations as functions of Λ. © 1997 Elsevier Science B.V.