Rational Constants of Generic LV Derivations and of Monomial Derivations

Janusz Zieliński. "Rational Constants of Generic LV Derivations and of Monomial Derivations." Bulletin of the Polish Academy of Sciences. Mathematics 61.3 (2013): 201-208. <http://eudml.org/doc/281307>.

@article{JanuszZieliński2013,
abstract = {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.},
author = {Janusz Zieliński},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Lotka-Volterra derivation; factorizable derivation; monomial derivation; rational constant; rational first integral},
language = {eng},
number = {3},
pages = {201-208},
title = {Rational Constants of Generic LV Derivations and of Monomial Derivations},
url = {http://eudml.org/doc/281307},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Janusz Zieliński
TI - Rational Constants of Generic LV Derivations and of Monomial Derivations
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 3
SP - 201
EP - 208
AB - 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.
LA - eng
KW - Lotka-Volterra derivation; factorizable derivation; monomial derivation; rational constant; rational first integral
UR - http://eudml.org/doc/281307
ER -