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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… Click to show full 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 composition of two involutions, one of which is a (linear) symmetry switch, and the other is a generalised Manin involution.
Keywords:
kahan discretisation;
quadratic vector;
vector fields;
generalised manin;
three classes
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
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Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!