2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153868In this work we consider superintegrable systems in the classical $r$-matrix method. By using other authomorphisms of the loop algebras we construct new superintegrable systems with rational potentials from geodesic motion on $R^{2n}$.22 pages, LaTeXExactly Solvable and Integrable Systemstext