47 citations · 762 across the 57 of their papers we have counts for
5 papers · 1 filter
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…
Torsion pendulum revisited
Massimo Bassan, Fabrizio De Marchi, Lorenzo Marconi +3
We present an analysis of the motion of a simple torsion pendulum and we describe how, with straightforward extensions to the usual basic dynamical model, we succeed in explaining…
A quasi-complete mechanical model for a double torsion pendulum
Fabrizio De Marchi, Giuseppe Pucacco, Massimo Bassan +8
We present a dynamical model for the double torsion pendulum nicknamed PETER, where one torsion pendulum hangs in cascade, but off-axis, from the other. The dynamics of interest in…
Normal forms for the epicyclic approximations of the perturbed Kepler problem
Giuseppe Pucacco
We compute the normal forms for the Hamiltonian leading to the epicyclic approximations of the (perturbed) Kepler problem in the plane. The Hamiltonian setting corresponds to the d…
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…