Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 1, Pages 32–49 (Mi basm308)  
This article is cited in 2 scientific papers (total in 2 papers)

Center problem for cubic systems with a bundle of two invariant straight lines and one invariant conic

Dumitru Cozma

Department of Mathematics, Tiraspol State University, Chişinău, Moldova
Full-text PDF (203 kB) Citations (2)
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Abstract: For cubic differential systems with a bundle of two invariant straight lines and one invariant conic it is proved that a weak focus is a center if and only if the first four Liapunov quantities $L_j$, $j=\overline{1,4}$, vanish.
Keywords and phrases: cubic differential system, center-focus problem, invariant algebraic curve, integrability.
Received: 29.07.2011
Bibliographic databases:
Document Type: Article
MSC: 34C05
Language: English
Citation: Dumitru Cozma, “Center problem for cubic systems with a bundle of two invariant straight lines and one invariant conic”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 1, 32–49
Citation in format AMSBIB
\Bibitem{Coz12}
\by Dumitru Cozma
\paper Center problem for cubic systems with a~bundle of two invariant straight lines and one invariant conic
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 1
\pages 32--49
\mathnet{http://mi.mathnet.ru/basm308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2987325}
\zmath{https://zbmath.org/?q=an:1259.34020}
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  • https://www.mathnet.ru/eng/basm/y2012/i1/p32
    • This publication is cited in the following 2 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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