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A combinatorial method for the vanishing of the Poisson brackets of an integrable Lotka–Volterra system

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Publication:5504741
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DOI10.1088/1751-8113/42/2/025201zbMath1153.37456OpenAlexW2089811855MaRDI QIDQ5504741

Yoshiaki Itoh

Publication date: 22 January 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/42/2/025201

zbMATH Keywords

population dynamics


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25)


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Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems*, Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems, Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems, Integrable Lotka-Volterra systems, Method of descent for integrable lattices, Integrable reductions of the dressing chain, A new class of integrable Lotka-Volterra systems



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