New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations

12 Oct 2016 · Petrera Matteo, Zander René ·

We present some new families of quadratic vector fields, not necessarily integrable, for which their Kahan-Hirota-Kimura discretization exhibits the preservation of some of the characterizing features of the underlying continuous systems (conserved quantities and invariant measures).