New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
Exactly Solvable and Integrable Systems
2017-05-24 v1 Mathematical Physics
math.MP
Numerical Analysis
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).
Keywords
Cite
@article{arxiv.1610.03664,
title = {New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations},
author = {Matteo Petrera and René Zander},
journal= {arXiv preprint arXiv:1610.03664},
year = {2017}
}
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12 pages