New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
arXiv:1610.03664 · doi:10.1088/1751-8121/aa6a0f
Abstract
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).
12 pages