Integrable deformations of Lotka-Volterra systems

DOI10.1016/j.physleta.2011.07.055zbMath1252.34015arXiv1106.0805OpenAlexW2036971234MaRDI QIDQ691902

Alfonso Blasco, Ángel Ballesteros, Fabio Musso

Publication date: 4 December 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0805

zbMATH Keywords

perturbationsintegrable systemsLotka-VolterraCasimir functionsPoisson coalgebrasN-dimensional

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05) Applications of Lie groups to the sciences; explicit representations (22E70) Perturbations of ordinary differential equations (34D10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Poisson algebras (17B63)

Related Items (10)

Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups ⋮ Variational discretization for the planar Lotka-Volterra equations in the Birkhoffian sense ⋮ Symplectic realizations and symmetries of a Lotka-Volterra type system ⋮ On a Hamiltonian version of a three-dimensional Lotka-Volterra system ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Hamilton-Poisson realizations of the integrable deformations of the Rikitake system ⋮ A new class of integrable Lotka-Volterra systems ⋮ Hamiltonian structure of compartmental epidemiological models

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