Polynomial algebra of constants of the four variable Lotka-Volterra system

Piotr Ossowski; Janusz Zieliński

Colloquium Mathematicae (2010)

  • Volume: 120, Issue: 2, page 299-309
  • ISSN: 0010-1354

Abstract

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We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.

How to cite

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Piotr Ossowski, and Janusz Zieliński. "Polynomial algebra of constants of the four variable Lotka-Volterra system." Colloquium Mathematicae 120.2 (2010): 299-309. <http://eudml.org/doc/284181>.

@article{PiotrOssowski2010,
abstract = {We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.},
author = {Piotr Ossowski, Janusz Zieliński},
journal = {Colloquium Mathematicae},
keywords = {Lotka-Volterra derivation; polynomial constant},
language = {eng},
number = {2},
pages = {299-309},
title = {Polynomial algebra of constants of the four variable Lotka-Volterra system},
url = {http://eudml.org/doc/284181},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Piotr Ossowski
AU - Janusz Zieliński
TI - Polynomial algebra of constants of the four variable Lotka-Volterra system
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 299
EP - 309
AB - We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.
LA - eng
KW - Lotka-Volterra derivation; polynomial constant
UR - http://eudml.org/doc/284181
ER -

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