Lotka-Volterra equations in three dimensions satisfying the Kowalevski-Painlevé property

DOI10.1134/S1560354711030075zbMath1270.34005arXiv0909.3567OpenAlexW2054927449MaRDI QIDQ691179

Pantelis A. Damianou, Kyriacos Constandinides

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3567

zbMATH Keywords

Lotka-Volterra equationsPainlevé analysisKowalevski exponents

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (6)

Lotka-Volterra systems satisfying a strong Painlevé property ⋮ Symplectic realizations and symmetries of a Lotka-Volterra type system ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Integrable and non-integrable Lotka-Volterra systems ⋮ Integrable deformations of Lotka-Volterra systems ⋮ A survey on the Kovalevskaya exponents and their applications

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