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math.NAJan 31, 2017
6
citations (OpenAlex)
authors
  • Elena Celledoni
  • Robert I. McLachlan
  • David I. McLaren
  • Brynjulf Owren
  • G. R. W. Quispel
institutions
  • La Trobe University
  • Massey University
  • Norwegian University of Science and Technology
arXiv abstractPDF
paper

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

arXiv:1702.00280

Abstract

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

Cited by in corpus (3)

  • An Elementary Construction of Modified Hamiltonians and Modified Measures of 2D Kahan Maps
  • Lax pairs for the discrete reduced Nahm systems
  • Space of initial values of a map with a quartic invariant
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