We present a general analysis of the bifurcation sequences of 2:2 resonant reversible Hamiltonian systems invariant under spatial $\Z_2\times\Z_2$ symmetry. The rich structure of these systems is investigated by a singularity theory approach based on the construction of a universal deformation of the detuned Birkhoff normal form. The thresholds for the bifurcations are computed as asymptotic series also in terms of physical quantities for the original system.
Marchesiello, A., Pucacco, G. (2014). Equivariant singularity analysis of the 2:2 resonance. NONLINEARITY, 27, 43-66 [doi:10.1088/0951-7715/27/1/43].
Equivariant singularity analysis of the 2:2 resonance
PUCACCO, GIUSEPPE
2014-01-01
Abstract
We present a general analysis of the bifurcation sequences of 2:2 resonant reversible Hamiltonian systems invariant under spatial $\Z_2\times\Z_2$ symmetry. The rich structure of these systems is investigated by a singularity theory approach based on the construction of a universal deformation of the detuned Birkhoff normal form. The thresholds for the bifurcations are computed as asymptotic series also in terms of physical quantities for the original system.File in questo prodotto:
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