The five-variable Volterra system

• Autorzy: Janusz Zieliński
• Języki publikacji: EN

Abstrakty

EN

We give a description of all polynomial constants of the five-variable Volterra derivation, hence of all polynomial first integrals of its corresponding Volterra system of differential equations. The Volterra system plays a significant role in plasma physics and population biology.

Słowa kluczowe

EN

Volterra derivation; Lotka-Volterra derivation; Polynomial constant; Polynomial first integral

Kategorie tematyczne

• 12H05: Differential algebra
• 34A34: Nonlinear equations and systems, general
• 13N15: Derivations
• 92D25: Population dynamics (general)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 4
• Strony: 888-896

Daty

wydano

2011-08-01

online

2011-05-26

Twórcy

autor

Janusz Zieliński

• Nicolaus Copernicus University

Bibliografia

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• [9] Nowicki A., A factorisable derivation of polynomial rings in n variables (in press)
• [10] Nowicki A., Zieliński J., Rational constants of monomial derivations, J. Algebra, 2006, 302(1), 387–418 http://dx.doi.org/10.1016/j.jalgebra.2006.02.034
• [11] Ossowski P., Zieliński J., Polynomial algebra of constants of the four variable Lotka-Volterra system, Colloq. Math., 2010, 120(2), 299–309 http://dx.doi.org/10.4064/cm120-2-9
• [12] Zieliński J., Factorizable derivations and ideals of relations, Comm. Algebra, 2007, 35(3), 983–997 http://dx.doi.org/10.1080/00927870601117639

Identyfikatory

DOI

10.2478/s11533-011-0032-0