Geodesic
Kolmogorov system with explicit hyperbolic limit cycle
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 216-222

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A class of Kolmogorov differential system is introduced.We show that under suitable assumptions on parameters, an algebraic hyprbolic limit cycle can occur, the explicit expression of this limit cycle is given.
Keywords: Kolmogorov differential system, invariant curve, singular point, periodic solution, algebraic limit cycle. 
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     title = {Kolmogorov system with explicit hyperbolic limit cycle},
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Salah Benyoucef; Ahmed Bendjeddou. Kolmogorov system with explicit hyperbolic limit cycle. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 216-222. http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a8/