Rational Constants of Generic LV Derivations and of Monomial Derivations

• Autorzy: Janusz Zieliński
• Języki publikacji: EN

Abstrakty

EN

We describe the fields of rational constants of generic four-variable Lotka-Volterra derivations. Thus, we determine all rational first integrals of the corresponding systems of differential equations. Such systems play a role in population biology, laser physics and plasma physics. They are also an important part of derivation theory, since they are factorizable derivations. Moreover, we determine the fields of rational constants of a class of monomial derivations.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 3
• Strony: 201-208

Daty

wydano

2013

Twórcy

autor

Janusz Zieliński

• Faculty of Mathematics and Computer Science, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/ba61-3-2