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June 20, 2026Open Communications in Nonlinear Mathematical PhysicsOpen Access

Liouville integrable Lotka-Volterra systems

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This research aims to explore and present families of Liouville integrable Lotka-Volterra systems, examining both homogeneous and inhomogeneous cases.
Introduced $rac{m^{2}}{4}+rac{m}{2}+rac{1-ig(-1ig)^{m}}{8}$ parameter families of Lotka-Volterra systems.
Studied the properties of both homogeneous and inhomogeneous versions of these systems.
Identified $(3m-2)$-parameter families of $(2m)$- and $(2m-1)$-dimensional Lotka-Volterra systems.
Provided historical context and concluding remarks, enhancing the discussion on integrable systems.

Implication

Presents comprehensive families of Liouville integrable Lotka-Volterra systems, suggesting their mathematical significance.

Abstract

We present m²4+m/2+1-(-1)ᵐ8 homogeneous $(3m-2)$-parameter families of Liouville integrable $(2m)$- and $(2m-1)$-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

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Kamp et al. (2026) studied this question.

synapsesocial.com/papers/6a362de1db0793dc1a535ee5 https://doi.org/10.46298/ocnmp.18125

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Implication

Presents comprehensive families of Liouville integrable Lotka-Volterra systems, suggesting their mathematical significance.

Liouville integrable Lotka-Volterra systems

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Implication

Abstract

Discussion

Cite This Study

Liouville integrable Lotka-Volterra systems

Key Points

Implication

Abstract

Discussion

Cite This Study

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