Surfaces of bifurcation in a triparametric quadratic Hamiltonian

  1. Lanchares, V. 1
  2. Iñarrea, M. 1
  3. Salas, J.P. 1
  4. Sierra, J.D. 1
  5. Elipe, A. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revista:
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

ISSN: 1063-651X

Año de publicación: 1995

Volumen: 52

Número: 5

Páginas: 5540-5548

Tipo: Artículo

DOI: 10.1103/PHYSREVE.52.5540 SCOPUS: 2-s2.0-0010185583 WoS: WOS:A1995TG33700050 GOOGLE SCHOLAR

Otras publicaciones en: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Resumen

Numerous dynamical systems are represented by a quadratic Hamiltonian with the phase space on the scrS2 sphere. In this paper, for the unique class of quadratic Hamiltonians depending on three parameters, we analyze the equilibria and the occurrence of parametric bifurcations; we obtain the surfaces of bifurcation in the space of parameters. We describe, in the context of quadratic Hamiltonians, a special type of bifurcation associated with a nonelementary fixed point; we name it a double teardrop bifurcation. © 1995 The American Physical Society.