Rational Constants of Generic LV Derivations and of Monomial Derivations

• Autorzy: Zieliński J.

Identyfikatory

DOI

10.4064/ba61-3-2

• 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.

Słowa kluczowe

EN

Lotka-Volterra derivation; factorizable derivation; monomial derivation; rational constant; rational first integral

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 3-4
• Strony: 201--208
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Zieliński J.

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

Bibliografia

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