5 citations · 5 across the 1 of their papers we have counts for
5 papers
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…
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello, Libor Šnobl
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We con…
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…
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Antonella Marchesiello, Libor Šnobl
We construct an additional independent integral of motion for a class of three dimensional minimally superintegrable systems with constant magnetic field. This class was introduced…
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…