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arXiv · 1312.4730

Equivariant singularity analysis of the 2:2 resonance

Antonella Marchesiello·Giuseppe Pucacco
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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.

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Antonella Marchesiello, Giuseppe Pucacco. 2013-12-17. Equivariant singularity analysis of the 2:2 resonance. https://doi.org/10.1088/0951-7715%2F27%2F1%2F43

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