Liouville integrable Lotka-Volterra systems

Fuente: arXiv
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Hauptverfasser: van der Kamp, Peter H., McLaren, David I., Quispel, G. R. W.
Format: Preprint
Veröffentlicht: 2026
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author van der Kamp, Peter H.
McLaren, David I.
Quispel, G. R. W.
author_facet van der Kamp, Peter H.
McLaren, David I.
Quispel, G. R. W.
contents We present $\frac{m^{2}}{4}+\frac{m}{2}+\frac{1-\left(-1\right)^{m}}{8}$ homogeneous $(3m-2)$-parameter families of Liouville integrable $(2m)$- and $(2m-1)$-dimensional Lotka-Volterra systems. We also study inhomogeneous versions of these systems.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01743
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Liouville integrable Lotka-Volterra systems
van der Kamp, Peter H.
McLaren, David I.
Quispel, G. R. W.
Exactly Solvable and Integrable Systems
We present $\frac{m^{2}}{4}+\frac{m}{2}+\frac{1-\left(-1\right)^{m}}{8}$ homogeneous $(3m-2)$-parameter families of Liouville integrable $(2m)$- and $(2m-1)$-dimensional Lotka-Volterra systems. We also study inhomogeneous versions of these systems.
title Liouville integrable Lotka-Volterra systems
topic Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2604.01743