Global analytic first integrals for the real planar Lotka-Volterra system

DOI10.1063/1.2713076zbMath1137.34329OpenAlexW2048464593WikidataQ56286316 ScholiaQ56286316MaRDI QIDQ3442258

Claudia Valls, Jaume Llibre

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2713076

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10)

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Cites Work

• Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
• Liouvillian integration of the Lotka-Volterra system
• Rational integration of the Lotka-Volterra system
• Liouvillian first integrals for the planar Lotka-Volterra system
• Smooth dynamical systems. Introductory article
• Darboux integrability for 3D Lotka-Volterra systems
• Lie symmetries and invariants of the Lotka–Volterra system