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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 2, Pages 216–222
DOI: https://doi.org/10.17516/1997-1397-2017-10-2-216-222 (Mi jsfu542) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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
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DOI: https://doi.org/10.17516/1997-1397-2017-10-2-216-222
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.
Received: 07.08.2016
Received in revised form: 10.01.2017
Accepted: 06.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
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
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-216-222}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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