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Universal unfolding of symmetric resonances |
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| Authors: | Antonella Marchesiello Giuseppe Pucacco |
| Affiliation: | 1. Dě?ín Branch, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Pohranicní 1, 40501?, Dě?ín, Czech Republic 2. Dipartimento di Fisica and INFN – Sezione di Roma II, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 1, 00133?, Rome, Italy |
| Abstract: | We present the analysis of the bifurcation sequences of a family of resonant 2-DOF Hamiltonian systems invariant under spatial mirror symmetry and time reversion. The phase-space structure is investigated by a singularity theory approach based on the construction of a universal deformation of the detuned Birkhoff–Gustavson normal form. Thresholds for the bifurcations of periodic orbits in generic position are computed as asymptotic series in terms of physical parameters of the original system. |
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