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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 81–98 (Mi basm314)  
This article is cited in 9 scientific papers (total in 9 papers)

Cubic systems with seven invariant straight lines of configuration $(3,3,1)$

Alexandru Şubăa, Vadim Repeşcob, Vitalie Puţunticăb

a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
b Tiraspol State University, Chişinău, Moldova
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Abstract: We classify all cubic differential systems with exactly seven invariant straight lines (taking into account their parallel multiplicity) which form a configuration of type $(3,3,1)$. We prove that there are six different topological classes of such systems. For every class we carried out the qualitative investigation on the Poincaré disc. Some properties of cubic systems with invariant straight lines are given.
Keywords and phrases: cubic differential system, invariant straight line, phase portrait.
Received: 10.10.2012
Bibliographic databases:
Document Type: Article
MSC: 34C05
Language: English
Citation: Alexandru Şubă, Vadim Repeşco, Vitalie Puţuntică, “Cubic systems with seven invariant straight lines of configuration $(3,3,1)$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2, 81–98
Citation in format AMSBIB
\Bibitem{UbaRepPut12}
\by Alexandru~\c Sub{\u a}, Vadim~Repe{\c s}co, Vitalie~Pu\c tuntic{\u a}
\paper Cubic systems with seven invariant straight lines of configuration~$(3,3,1)$
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 2
\pages 81--98
\mathnet{http://mi.mathnet.ru/basm314}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3060804}
\zmath{https://zbmath.org/?q=an:06179498}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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