5 citations · 5 across the 2 of their papers we have counts for
9 papers
Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity
G. Gubbiotti, M. C. Nucci
Nineteen classical superintegrable systems in two-dimensional non-Euclidean spaces are shown to possess hidden symmetries leading to their linearization. They are the two Perlick s…
Lax pairs for the discrete reduced Nahm systems
G. Gubbiotti
We discretise the Lax pair for the reduced Nahm systems and prove its equivalence with the Kahan-Hirota-Kimura discretisation procedure. We show that these Lax pairs guarantee the…
Space of initial values of a map with a quartic invariant
G. Gubbiotti, N. Joshi
We compactify and regularize the space of initial values of a planar map with a quartic invariant and use this construction to prove its integrability in the sense of algebraic ent…
Lagrangians and integrability for additive fourth-order difference equations
Giorgio Gubbiotti
We use a recently found method to characterise all the invertible fourth-order difference equations linear in the extremal values based on the existence of a discrete Lagrangian. W…
Algebraic entropy of a class of five-point differential-difference equations
G. Gubbiotti
We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We s…
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
R. N. Garifullin, G. Gubbiotti, R. I. Yamilov
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Ya…