Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems

DOI10.1063/1.4978854zbMath1442.37073arXiv1609.09507OpenAlexW3099674861MaRDI QIDQ2974647

Pavlos Kassotakis, Pol Vanhaecke, Pantelis A. Damianou, Charalampos A. Evripidou

Publication date: 10 April 2017

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

Full work available at URL: https://arxiv.org/abs/1609.09507

zbMATH Keywords

Toeplitz matrixLiouville integrabilitynoncommutative integrabilitygeneralized Lotka-Volterra system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (8)

Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems* ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Poisson structures for difference equations ⋮ Integrable and non-integrable Lotka-Volterra systems ⋮ Dressing the dressing chain ⋮ Integrable reductions of the dressing chain ⋮ A new class of integrable Lotka-Volterra systems

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