English

Liouville integrable Lotka-Volterra systems

Exactly Solvable and Integrable Systems 2026-04-28 v2

Abstract

We present m24+m2+1(1)m8\frac{m^{2}}{4}+\frac{m}{2}+\frac{1-\left(-1\right)^{m}}{8} homogeneous (3m2)(3m-2)-parameter families of Liouville integrable (2m)(2m)- and (2m1)(2m-1)-dimensional Lotka-Volterra systems. We also study inhomogeneous versions of these systems.

Keywords

Cite

@article{arxiv.2604.01743,
  title  = {Liouville integrable Lotka-Volterra systems},
  author = {Peter H. van der Kamp and David I. McLaren and G. R. W. Quispel},
  journal= {arXiv preprint arXiv:2604.01743},
  year   = {2026}
}

Comments

30 pages, 8 figures, in honour of Professor Jarmo Hietarinta on the occasion of his 80th birthday