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

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).

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-05, Vol.50 (20), p.205203
Hauptverfasser: Petrera, Matteo, Zander, René
Format: Artikel
Sprache:eng
Schlagworte:
discrete integrable systems
geometric numerical integration
quadratic vector fields
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Zusammenfassung: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).
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa6a0f