Homogeneous Darboux polynomials and generalising integrable ODE systems

Abstract

We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems.

arXiv comment6 pages

References in corpus (1)

• Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization