Surfaces of bifurcation in a triparametric quadratic Hamiltonian
- Lanchares, V. 1
- Iñarrea, M. 1
- Salas, J.P. 1
- Sierra, J.D. 1
- Elipe, A. 2
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 1063-651X
Year of publication: 1995
Volume: 52
Issue: 5
Pages: 5540-5548
Type: Article
More publications in: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Abstract
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.