31 citations · 161 across the 19 of their papers we have counts for
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On the detuned 2:4 resonance
Heinz Hanssmann, Antonella Marchesiello, Giuseppe Pucacco
We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1:2 resonance. Under detuning, this "Fermi resonance" typically leads to normal modes l…
An energy-momentum map for the time-reversal symmetric 1:1 resonance with Z_2 X Z_2 symmetry
Giuseppe Pucacco, Antonella Marchesiello
We present a general analysis of the bifurcation sequences of periodic orbits in general position of a family of reversible 1:1 resonant Hamiltonian normal forms invariant under $\…
Equivariant singularity analysis of the 2:2 resonance
Antonella Marchesiello, Giuseppe Pucacco
We present a general analysis of the bifurcation sequences of 2:2 resonant reversible Hamiltonian systems invariant under spatial symmetry. The rich structure of t…
The symmetric 1:2 resonance
Antonella Marchesiello, Giuseppe Pucacco
This paper illustrates the application of Lie transform normal-form theory to the construction of the 1:2 resonant normal form corresponding to a wide class of natural Hamiltonian…