Integrable Lotka-Volterra systems
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Publication:652994
DOI10.1134/S1560354708060051zbMath1229.37097MaRDI QIDQ652994
Publication date: 6 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Lotka-Volterra systemsLax representationRiemannian surfacesHamiltonian structuresintegrable latticesCasimir functions
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lattice dynamics; integrable lattice equations (37K60)
Related Items (16)
Lotka-Volterra systems satisfying a strong Painlevé property ⋮ Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems* ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ On the dynamics of a class of Kolmogorov systems ⋮ The five-variable Volterra system ⋮ On generalized Volterra systems ⋮ Integrable and non-integrable Lotka-Volterra systems ⋮ Intermediate Toda systems ⋮ Method of descent for integrable lattices ⋮ Homogeneous Darboux polynomials and generalising integrable ODE systems ⋮ Dressing the dressing chain ⋮ Integrable reductions of the dressing chain ⋮ A new class of integrable Lotka-Volterra systems ⋮ Fractional-order PD control at Hopf bifurcation in a delayed predator-prey system with trans-species infectious diseases
Cites Work
- Three integrable Hamiltonian systems connected with isospectral deformations
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- Algebraic constructions of integrable dynamical systems-extensions of the Volterra system
- A combinatorial method for the vanishing of the Poisson brackets of an integrable Lotka–Volterra system
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