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math.DS2018★ 3 cited
Bifurcations and Monodromy of the Axially Symmetric 1:1:-2 Resonance
Konstantinos Efstathiou, Heinz Hanßmann, Antonella Marchesiello
We consider integrable Hamiltonian systems in three degrees of freedom near an elliptic equilibrium in 1:1:-2 resonance. The integrability originates from averaging along the perio…
math.DS2015★ 11 cited
Bifurcation sequences in the symmetric 1:1 Hamiltonian resonance
Antonella Marchesiello, Giuseppe Pucacco
We present a general review of the bifurcation sequences of periodic orbits in general position of a family of resonant Hamiltonian normal forms with nearly equal unperturbed frequ…