Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems*

DOI10.1088/1751-8121/ac7e90OpenAlexW3097700221MaRDI QIDQ5057856

Pol Vanhaecke, Pavlos Kassotakis, Charalampos A. Evripidou

Publication date: 1 December 2022

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

Full work available at URL: https://arxiv.org/abs/2010.16180

zbMATH Keywords

integrabilityLotka-Volterra systemsgraphs

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems involving maps of trees and graphs (37E25) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (2)

Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families

Cites Work

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• Integrable Lotka-Volterra systems
• Dynamics of the attractor in the Lotka-Volterra equations
• The problem of integrable discretization: Hamiltonian approach
• Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems
• Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps
• Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
• Liouville integrability and superintegrability of a generalized Lotka–Volterra system and its Kahan discretization
• 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
• Hyperelliptic Prym varieties and integrable systems

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