30 citations · 53 across the 2 of their papers we have counts for
2 papers
nlin.SI2011★ 23 cited
Symplectic Maps from Cluster Algebras
Allan P. Fordy, Andrew Hone
We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corre…
math-ph2007★ 30 cited
Quantum Super-Integrable Systems as Exactly Solvable Models
Allan P. Fordy
We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exa…