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

Abstract

We prove the Liouville and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization.

14 pages

References in corpus (2)

• Discretization of polynomial vector fields by polarization
• Integrable and superintegrable systems associated with multi-sums of products

Cited by in corpus (7)

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• Symplectic Groupoids for Poisson Integrators
• New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
• Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps
• Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families
• Homogeneous Darboux polynomials and generalising integrable ODE systems
• A new class of integrable Lotka-Volterra systems