22 citations · 113 across the 11 of their papers we have counts for
11 papers
On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi art
Francesco Fassò, Nicola Sansonetto
We study some aspects of the dynamics of the nonholonomic system formed by a heavy homogeneous ball constrained to roll without sliding on a steadily rotating surface of revolution…
On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution
Marco Dalla Via, Francesco Fassò, Nicola Sansonetto
We study the class of nonholonomic mechanical systems formed by a heavy symmetric ball that rolls without sliding on a surface of revolution, which is either at rest or rotates abo…
Integrability and dynamics of the n-dimensional symmetric Veselova top
Francesco Fassò, Luis C. García-Naranjo, James Montaldi
We consider the the n-dimensional generalisation of the nonholonomic Veselova problem. We derive the reduced equations of motion in terms of the mass tensor of the body and determi…
Moving energies as first integrals of nonholonomic systems with affine constraints
Francesco Fassò, Luis C. García-Naranjo, Nicola Sansonetto
In nonholonomic mechanical systems with constraints that are affine (linear nonhomogeneous) functions of the velocities, the energy is typically not a first integral. It was shown…
Nearly-integrable almost-symplectic Hamiltonian systems
Francesco Fasso, Nicola Sansonetto
Integrable Hamiltonian systems on almost-symplectic manifolds have recently drawn some attention. Under suitable properties, they have a structure analogous to those of standard sy…
Conservation of energy and momenta in nonholonomic systems with affine constraints
Francesco Fassò, Nicola Sansonetto
We characterize the conditions for the conservation of the energy and of the components of the momentum maps of lifted actions, and of their `gauge-like' generalizations, in time-i…
Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces
Francesco Fassò, Nicola Sansonetto
Energy is in general not conserved for mechanical nonholonomic systems with affine constraints. In this article we point out that, nevertheless, in certain cases, there is a modifi…
Quasi-periodicity in relative quasi-periodic tori
Francesco Fassò, Luis C. García-Naranjo, Andrea Giacobbe
At variance from the cases of relative equilibria and relative periodic orbits of dynamical systems with symmetry, the dynamics in relative quasi-periodic tori (namely, subsets of…
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
Francesco Fassò, Andrea Giacobbe
Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifib…
Geometry of KAM tori for nearly integrable Hamiltonian systems
H. W. Broer, R. H. Cushman, F. Fasso
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing together local KAM conjugacies with help of a partition of unity. In this way we…
Stability Properties of the Riemann Ellipsoids
Francesco Fasso`, Debra Lewis
We study the ellipticity and the ``Nekhoroshev stability'' (stability properties for finite, but very long, time scales) of the Riemann ellipsoids. We provide numerical evidence th…