Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 91–101 (Mi basm191)  
This article is cited in 3 scientific papers (total in 3 papers)

Research articles

Solution of the center problem for cubic systems with a bundle of three invariant straight lines

Alexandru Şubă

Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova
Full-text PDF (132 kB) Citations (3)
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Abstract: For cubic differential system with three invariant straight lines which pass through the same point it is proved that a singular point with purely imaginary eigenvalues (weak focus) is a center if and only if the focal values $g_{2j+1}$, $j=\overline{1,5}$, vanish.
Keywords and phrases: cubic systems of differential equations, center-focus problem, invariant algebraic curves, integrability.
Received: 29.11.2001
Bibliographic databases:
Document Type: Article
MSC: 34C05
Language: English
Citation: Alexandru Şubă, “Solution of the center problem for cubic systems with a bundle of three invariant straight lines”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 91–101
Citation in format AMSBIB
\Bibitem{Uba03}
\by Alexandru~\c Sub{\u a}
\paper Solution of the center problem for cubic systems with a~bundle of three invariant straight lines
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 1
\pages 91--101
\mathnet{http://mi.mathnet.ru/basm191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992654}
\zmath{https://zbmath.org/?q=an:1051.34021}
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  • https://www.mathnet.ru/eng/basm/y2003/i1/p91
    • This publication is cited in the following 3 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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