New classes of quadratic vector fields admitting integral-preserving   Kahan-Hirota-Kimura discretizations
  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). 
Matteo Petrera, Ren\'e Zander
nlin.SI math-ph math.MP math.NA