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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0032-0,
author = {Janusz Zieli\'nski},
title = {The five-variable Volterra system},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {888-896},
zbl = {1236.13024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0032-0}
}
Janusz Zieliński. The five-variable Volterra system. Open Mathematics, Tome 9 (2011) pp. 888-896. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0032-0/
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