Two classes of quadratic vector fields for which the Kahan\n discretization is integrable

2017/01/30 by Elena Celledoni, I. Robert McLachlan, Celledoni, Elena +9
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1702.00280

Abstract

Applying Kahan's discretization to the reduced Nahm equations, we obtain two\nclasses of integrable mappings.\n

Related

• Geometric and integrability properties of Kahan's method
• Analogues of Kahan's method for higher order equations of higher degree
• Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation
• Conserved quantities of discretizations by polarization
• Properties of Solutions of a Class of Hypocomplex Vector Fields