McMillan Maps
McMillan Maps are nonlinear yet integrable discrete maps that take the form:
\[q' = p\] \[p' = -q + f(p)\]Where
\[f(p) = -\frac{B p^2 + 2 \epsilon p + \Xi}{A p^2 + B p + \Gamma}\]To read more about Multipole McMillan Maps: Dynamics of McMillan mappings I. McMillan multipoles