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New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
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New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
classification
nlin.SI
cs.NAmath-phmath.MPmath.NA
keywords
fieldskahan-hirota-kimuraquadraticsomevectoradmittingcharacterizingclasses
read the original 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).
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