D. McLaren

collaborators

3 papers

nlin.SI2026

Liouville integrable Lotka-Volterra systems

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

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-Volt…

nlin.SI2024

On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function

Peter H. van der Kamp, D. I. McLaren, G. R. W. Quispel

We study a class of integrable nonhomogeneous Lotka-Volterra systems whose quadratic terms are defined by an antisymmetric matrix and whose linear terms consist of three blocks. We…

nlin.SI2024

Trees and superintegrable Lotka-Volterra families

Peter H. van der Kamp, G. R. W. Quispel, D. I. McLaren

To any tree on $n$ vertices we associate an $n$ -dimensional Lotka-Volterra system with $3 n - 2$ parameters and, for generic values of the parameters, prove it is superintegrable, i.e…