Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems

DOI10.1134/S1560354717060090zbMath1430.37072arXiv1709.06763OpenAlexW3083219787MaRDI QIDQ1702813

Pol Vanhaecke, Charalampos A. Evripidou, Pavlos Kassotakis

Publication date: 28 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06763

zbMATH Keywords

deformationsintegrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (10)

Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems* ⋮ Learning port-Hamiltonian systems -- algorithms ⋮ Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps ⋮ Dressing the dressing chain ⋮ On a deformed version of the two-disk dynamo system. ⋮ Integrable reductions of the dressing chain ⋮ A new class of integrable Lotka-Volterra systems ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ Discrete integrable systems and random Lax matrices ⋮ Discrete Hirota reductions associated with the lattice KdV equation

Cites Work

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• SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
• Periodic fixed points of Bäcklund transformations and the Korteweg–de Vries equation
• Periodic fixed points of Bäcklund transformations
• A simple model of the integrable Hamiltonian equation
• Integrable and superintegrable systems associated with multi-sums of products
• A combinatorial method for the vanishing of the Poisson brackets of an integrable Lotka–Volterra system

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