15 citations · 27 across the 6 of their papers we have counts for
6 papers
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the di…
Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of various models, both continuous and discrete. This algebraic structure characterizes t…
Discrete-time systems in quasi-standard form and the coalgebra symmetry
Pavel Drozdov, Giorgio Gubbiotti
In this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie--Poisson algebra . The outcom…
Algebraic entropy for hex systems
Giorgio Gubbiotti, Andrew P. Kels, Claude-M. Viallet
Hex systems were recently introduced [A. P. Kels. Integrable systems on hexagonal lattices and consistency on polytopes with quadrilateral and hexagonal faces. 2022. arXiv:2205.027…
Bi-rational maps in four dimensions with two invariants
G. Gubbiotti, N. Joshi, D. T. Tran +1
In this paper we present a class of four-dimensional bi-rational maps with two invariants satisfying certain constraints on degrees. We discuss the integrability properties of thes…
Noether symmetries and the quantization of a Lienard-type nonlinear oscillator
G. Gubbiotti, M. C. Nucci
The classical quantization of a Lienard-type nonlinear oscillator is achieved by a quantization scheme (M.C. Nucci. Theor. Math. Phys., 168:997--1004, 2011) that preserves the Noet…