Liouville integrable Lotka-Volterra systems

Peter H. van der Kamp; David I. McLaren; G. R. W. Quispel

doi:10.46298/ocnmp.18125

paper

Liouville integrable Lotka-Volterra systems

arXiv:2604.01743 · doi:10.46298/ocnmp.18125

Abstract

We present $\frac{m ^{2}}{4} + \frac{m}{2} + \frac{1 - ( - 1 ) ^{m}}{8}$ homogeneous $(3 m - 2)$ -parameter families of Liouville integrable $(2 m)$ - and $(2 m - 1)$ -dimensional Lotka-Volterra systems. We also study inhomogeneous versions of these systems.

37 pages, 37 references, 8 figures, in honour of Professor Jarmo Hietarinta on the occasion of his 80th birthday. Added historical context and concluding remarks in V2