Geodesic
Polynomial algebra of constants of the Lotka-Volterra system
Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 263-270.

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

Let k be a field of characteristic zero. We describe the kernel of any quadratic homogeneous derivation d:k[x,y,z] → k[x,y,z] of the form $d = x(Cy+z)\frac{∂}{∂x} + y(Az+x)\frac{∂}{∂y} + z(Bx+y)\frac{∂}{∂z}$, called the Lotka-Volterra derivation, where A,B,C ∈ k.
DOI : 10.4064/cm-81-2-263-270

Jean Moulin Ollagnier 1 ; Andrzej Nowicki 1

1 
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Jean Moulin Ollagnier; Andrzej Nowicki. Polynomial algebra of constants of the Lotka-Volterra system. Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 263-270. doi : 10.4064/cm-81-2-263-270. http://geodesic.mathdoc.fr/articles/10.4064/cm-81-2-263-270/

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