3 papers
hep-th2026
Generating twisted Cherednik eigenfunctions
A. Mironov, A. Morozov, A. Popolitov
Hamiltonians of new integrable systems associated with the integer rays (commutative subalgebras) of Ding-Iohara-Miki (DIM) algebra in the -body represe…
nlin.SI2025
On certain solvable systems of 4 nonlinear Ordinary Differential Equations
Francesco Calogero
Some interesting (periodic!) solutions of certain systems of nonlinear Ordinary Differential Equations $dx_{n}\left( t\right) /dt=P_{2}^{\left( n\right) }\left[ x_{m}\left( t\r…
nlin.SI2024
Systems of several first-order quadratic recursions whose evolution is easily ascertainable
Francesco Calogero
The evolution, as functions of the "ticking time" , of the solutions of the system of quadratic recursions \begin{eqnarray*} x_{n}\left( \ell +1\right) =c_{n}+…