Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation
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DOI: 10.1088/1751-8121/aaf51e
Abstract: We apply Kahan's discretisation method to three classes of 2-dimensional quadratic vector fields with quadratic, resp cubic, resp quartic Hamiltonians. We show that the maps obtained in this way can be geometrically understood as the… read more here.
Keywords: kahan discretisation; quadratic vector; vector fields; generalised manin ... See more keywords