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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 1–8
DOI: https://doi.org/10.33048/semi.2021.18.001 (Mi semr1342) 		 
Differentical equations, dynamical systems and optimal control

Kolmogorov differential systems with prescribed algebraic limit cycles

R. Chouader, S. Benyoucef, A. Bendjeddou

Laboratory of Applied Mathematics, Department of Mathematics, University of Setif 1, 19000, Algeria
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DOI: https://doi.org/10.33048/semi.2021.18.001
Abstract: 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.
Funding agency Grant number
Projets de Recherche Formation-Universitaire COOLO3UN190120180007
This work has been realized thanks to the: Direction Générale de la Recherche Scientifique et du Développement Technologique «DGRSDT». MESRS Algeria. And Research project under code : PRFU COOLO3UN190120180007.
Received October 24, 2020, published January 12, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34C25, 34C05, 34C07
Language: English
Citation: R. Chouader, S. Benyoucef, A. Bendjeddou, “Kolmogorov differential systems with prescribed algebraic limit cycles”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 1–8
Citation in format AMSBIB
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\by R.~Chouader, S.~Benyoucef, A.~Bendjeddou
\paper Kolmogorov differential systems with prescribed algebraic limit cycles
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 1--8
\mathnet{http://mi.mathnet.ru/semr1342}
\crossref{https://doi.org/10.33048/semi.2021.18.001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000616342900001}
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