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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1588–1597
DOI: https://doi.org/10.33048/semi.2020.17.111 (Mi semr1305) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

A class of planar differential systems with explicit expression for two limit cycles

Saad Eddine Hamizi, Rachid Boukoucha

Department of Mathematics, Faculty of Exact Sciences, University of Bejaia, Bejaia, 06000, Algeria
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DOI: https://doi.org/10.33048/semi.2020.17.111
Abstract: The existence of limit cycles is interesting and very important in applications. It is a key to understand the dynamic of polynomial differential systems. The aim of this paper is to investigate a class of a multi-parameter planar polynomial differential systems. Under some suitable conditions, the existence of two limit cycles, these limit cycles are explicitly given. Some examples are presented in order to illustrate the applicability of our results. algebras.
Keywords: limit cycle, Riccati equation, invariant algebraic curve, first integral.
Received July 17, 2020, published October 20, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 34C05, 34C07, 37C27, 37K10
Language: English
Citation: Saad Eddine Hamizi, Rachid Boukoucha, “A class of planar differential systems with explicit expression for two limit cycles”, Sib. Èlektron. Mat. Izv., 17 (2020), 1588–1597
Citation in format AMSBIB
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\by Saad~Eddine~Hamizi, Rachid~Boukoucha
\paper A class of planar differential systems with explicit expression for two limit cycles
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1588--1597
\mathnet{http://mi.mathnet.ru/semr1305}
\crossref{https://doi.org/10.33048/semi.2020.17.111}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000583302800001}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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