Geodesic
Rational Constants of Generic LV Derivations and of Monomial Derivations
Janusz Zieliński1
1 Faculty of Mathematics and Computer Science Nicolas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 201-208

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba61-3-2
Keywords: describe fields rational constants generic four variable lotka volterra derivations determine rational first integrals corresponding systems differential equations systems play role population biology laser physics plasma physics important part derivation theory since factorizable derivations moreover determine fields rational constants class monomial derivations

Janusz Zieliński 1

1 Faculty of Mathematics and Computer Science Nicolas Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Janusz Zieliński. Rational Constants of Generic LV Derivations and of Monomial Derivations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 201-208. doi: 10.4064/ba61-3-2

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