Hamiltonian structure and first integrals for the Lotka-Volterra systems
type: Item
instance of: scholarly article
title: Hamiltonian structure and first integrals for the Lotka-Volterra systems
zbMATH Open document ID: 1115.34303
DOI: 10.1016/S0375-9601(00)00454-0
author: Puyun Gao
published in: Physics Letters. A
publication date: 2007-08-07T00:00:00Z
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 5177625
zbMATH Keywords: Poisson structure
zbMATH Keywords: Lotka-Volterra equations
zbMATH Keywords: non-chaotic
zbMATH Keywords: exact solution
MaRDI profile type: Publication
cites work: Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
cites work: Bi-Hamiltonian systems and Lotka - Volterra equations: a three-dimensional classification
cites work: Hamiltonian structures for the n-dimensional Lotka–Volterra equations
cites work: Poisson structure of dynamical systems with three degrees of freedom
cites work: Direct integration method and first integrals for three-dimensional Lotka-Volterra systems
cites work: An indirect method of finding integrals for three-dimensional quadratic homogeneous systems
cites work: Q3238801
cites work: Q3992992
cites work: Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family
Wikidata QID: Q128054325
description: scientific article; zbMATH DE number 5177625