Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 2, Pages 37–50 (Mi basm196)  
This article is cited in 4 scientific papers (total in 4 papers)

Research articles

The centre-focus problem for analytical systems of Lienard form in degenerate case

Le Van Linh, A. P. Sadovskiia

a Belarussian State University, Minsk, Belarus
Full-text PDF (200 kB) Citations (4)
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Abstract: For analytical systems of Lienard form in the case of zero eigenvalues of its linear part is obtained the algebraic criterion of the centre existence, which is analogous to the Cherkas's criterion for systems with imaginary eigenvalues of linear part. We give the solution of centre-focus problem for one class of cubic systems.
Keywords and phrases: Centre-focus problem, Lienard systems of differential equations, cubic systems, integrating factor, limit cycles.
Received: 10.11.2002
Bibliographic databases:
Document Type: Article
MSC: 34C05
Language: English
Citation: Le Van Linh, A. P. Sadovskii, “The centre-focus problem for analytical systems of Lienard form in degenerate case”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2, 37–50
Citation in format AMSBIB
\Bibitem{LeSad03}
\by Le~Van~Linh, A.~P.~Sadovskii
\paper The centre-focus problem for analytical systems of Lienard form in degenerate case
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 2
\pages 37--50
\mathnet{http://mi.mathnet.ru/basm196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995426}
\zmath{https://zbmath.org/?q=an:1053.34029}
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  • https://www.mathnet.ru/eng/basm/y2003/i2/p37
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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    Full-text PDF :91
    References:28
    First page:2
     
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