On the first integrals of Lotka-Volterra systems

DOI10.1016/S0375-9601(00)00011-6zbMath0948.34025OpenAlexW2061232139MaRDI QIDQ1569545

F. Gonzalez-Gascon, Daniel Peralta-Salas

Publication date: 3 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00011-6

zbMATH Keywords

symmetryLotka-Volterra systemsfirst integrals

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Population dynamics (general) (92D25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (5)

Symplectic realizations and symmetries of a Lotka-Volterra type system ⋮ Quadratic first integrals of kinetic differential equations ⋮ Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2 ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems ⋮ Local integrability and linearizability of three-dimensional Lotka-Volterra systems

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