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This article is cited in 1 scientific paper (total in 1 paper)
Kolmogorov system with explicit hyperbolic limit cycle
Salah Benyoucefa, Ahmed Bendjeddoub a Department of Mathematics,
Faculty of sciences University Badji Mokhtar-Annaba,
Algeria
b University of Setif 1, department of Mathematics, 19000, Algeria
Abstract:
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.
DOI:
https://doi.org/10.17516/1997-1397-2017-10-2-216-222
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UDC:
517.5 Received: 07.08.2016 Received in revised form: 10.01.2017 Accepted: 06.02.2017
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Citation:
Salah Benyoucef, Ahmed Bendjeddou, “Kolmogorov system with explicit hyperbolic limit cycle”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 216–222
Citation in format AMSBIB
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\by Salah~Benyoucef, Ahmed~Bendjeddou
\paper Kolmogorov system with explicit hyperbolic limit cycle
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 2
\pages 216--222
\mathnet{http://mi.mathnet.ru/jsfu542}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-216-222}
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http://mi.mathnet.ru/eng/jsfu542 http://mi.mathnet.ru/eng/jsfu/v10/i2/p216
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This publication is cited in the following articles:
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Ahmed Bendjeddou, Mohamed Grazem, “A class of quintic Kolmogorov systems with explicit non-algebraic limit cycle”, Zhurn. SFU. Ser. Matem. i fiz., 12:3 (2019), 285–297
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