Liouville integrability and superintegrability of a generalized Lotka–Volterra system and its Kahan discretization

DOI10.1088/1751-8113/49/22/225201zbMath1355.34032arXiv1601.05006OpenAlexW2338974929MaRDI QIDQ3186244

Theodoros E. Kouloukas, Pol Vanhaecke, Gilles Reinout Willem Quispel

Publication date: 9 August 2016

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

Full work available at URL: https://arxiv.org/abs/1601.05006

zbMATH Keywords

integrable Lotka-Volterra superintegrable Kahan discretization

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (9)

Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems* ⋮ Birational maps from polarization and the preservation of measure and integrals ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Symplectic groupoids for Poisson integrators ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Homogeneous Darboux polynomials and generalising integrable ODE systems ⋮ Integrable reductions of the dressing chain ⋮ A new class of integrable Lotka-Volterra systems ⋮ New classes of quadratic vector fields admitting integral-preserving Kahan–Hirota–Kimura discretizations

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