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arXiv · 2303.00229

Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families

G. R. W. Quispel·Benjamin K. Tapley·D. I. McLaren·Peter H. van der Kamp
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Abstract

We present a method to construct superintegrable $n$-component Lotka-Volterra systems with $3n-2$ parameters. We apply the method to Lotka-Volterra systems with $n$ components for $1 < n < 6$, and present several $n$-dimensional superintegrable families. The Lotka-Volterra systems are in one-to-one correspondence with trees on $n$ vertices.

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G. R. W. Quispel, Benjamin K. Tapley, D. I. McLaren, Peter H. van der Kamp. 2023-03-01. Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families. https://doi.org/10.1088/1751-8121/ace0e9

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