Geodesic
Kolmogorov differential systems with prescribed algebraic limit cycles
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 1-8

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For a given algebraic curve, we exhibit Kolmogorov differential systems, and we show that these systems admit precisely the bounded components of the curve as hyperbolic limit cycles if certain conditions on the parameters of the system are satisfied.
Keywords: Sixteenth problem of Hilbert, planar differential system, invariant curve, periodic solution, hyperbolic limit cycle. 
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     author = {R. Chouader and S. Benyoucef and A. Bendjeddou},
     title = {Kolmogorov differential systems with prescribed algebraic limit cycles},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a21/}
}
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R. Chouader; S. Benyoucef; A. Bendjeddou. Kolmogorov differential systems with prescribed algebraic limit cycles. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a21/