Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 102–119 (Mi basm192)  
This article is cited in 2 scientific papers (total in 2 papers)

Research articles

Classification of quadratic systems with a symmetry center and simple infinite singular points

Mircea Lupana, Nicolae Vulpeb

a Department of Mathematics, "Gh. Asachi" Technical University of Iasi, Iasi, Romania
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Republic of Moldova
Full-text PDF (249 kB) Citations (2)
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Abstract: We classify the family of planar quadratic differential systems with a center of symmetry and two invariant straight lines according to the topology of their phase portraits. The case of the existence of simple infinite singular points is only considered. For each of the obtained distinct topological classes we give necessary and sufficient conditions in terms of algebraic invariants and comitants. The program was implemented for computer calculations.
Keywords and phrases: quadratic differential system, invariant line, phase portrait, limit cycle.
Received: 30.12.2002
Bibliographic databases:
Document Type: Article
MSC: 34C14, 34C05, 58F14
Language: English
Citation: Mircea Lupan, Nicolae Vulpe, “Classification of quadratic systems with a symmetry center and simple infinite singular points”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 102–119
Citation in format AMSBIB
\Bibitem{LupVul03}
\by Mircea~Lupan, Nicolae~Vulpe
\paper Classification of quadratic systems with a~symmetry center and simple infinite singular points
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 1
\pages 102--119
\mathnet{http://mi.mathnet.ru/basm192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992655}
\zmath{https://zbmath.org/?q=an:1057.34013}
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    • 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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