The constants of Lotka-Volterra derivations

DOI10.1007/S40879-015-0091-ZzbMath1346.13054OpenAlexW2215893252MaRDI QIDQ300504

Janusz Zieliński, Pál Hegedűs

Publication date: 28 June 2016

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0091-z

zbMATH Keywords

polynomial ringfactorisable derivationLotka-Volterra derivationpolynomial constant

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Derivations and commutative rings (13N15) Differential algebra (12H05)

Cites Work

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• The constants of the Volterra derivation
• Rings of constants of four-variable Lotka-Volterra systems
• Polynomial algebra of constants of the Lotka-Volterra system
• Algebraic constructions of integrable dynamical systems-extensions of the Volterra system
• Around Jouanolou non-integrability theorem

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