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.
Marchesiello, A., Pucacco, G. (2014). Universal unfolding of symmetric resonances. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 119, 357-368 [10.1007/s10569-014-9557-4].
Universal unfolding of symmetric resonances
PUCACCO, GIUSEPPE
2014-01-01
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.| File | Dimensione | Formato | |
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