19 citations · 135 across the 25 of their papers we have counts for
5 papers · 1 filter
Darboux integrability of trapezoidal and families of lattice equations I: First integrals
G. Gubbiotti, R. I. Yamilov
In this paper we prove that the trapezoidal and the families of quad-equations are Darboux integrable systems. This result sheds light on the fact that such equatio…
Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries
G. Gubbiotti, M. C. Nucci
The classical quantization of the motion of a free particle and that of an harmonic oscillator on a double cone are achieved by a quantization scheme [M.C. Nucci, Theor. Math. Phys…
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
Giorgio Gubbiotti, Christian Scimiterna, Decio Levi
We discuss the non autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from…
Thermodynamics of slow solutions to the Gas-Piston equations
G. Gubbiotti, D. Chiuchiù
Despite its historical importance, a perfect gas enclosed by a pistons and in contact with a thermal reservoirs is a system still largely under study. Its thermodynamic properties…
Are all classical superintegrable systems in two-dimensional space linearizable?
G. Gubbiotti, M. C. Nucci
Several examples of classical superintegrable systems in two-dimensional spac are shown to possess hidden symmetries leading to their linearization. They are those determined 50 ye…