Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 3, Pages 38–56 (Mi basm428)  
Research articles

Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five

Alexandru Şubăa, Vadim Repeşcob

a Institute of Mathematics and Computer Science A.S.M., Chişinău, Republic of Moldova
b State University of Tiraspol, Chişinău, Republic of Moldova
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Abstract: In this paper cubic systems which have degenerate infinity and invariant straight lines of total multiplicity five are classified. It is proved that, modulo affine transformations and time rescaling, there are 24 classes of such systems. For every class the qualitative investigation was carried out in the Poincaré disc.
Keywords and phrases: cubic differential system, invariant straight line, phase portrait.
Funding agency Grant number
FP7-PEOPLE-2012-IRSES-316338
15.817.02.03F
Supported by FP7-PEOPLE-2012-IRSES-316338 and 15.817.02.03F.
Received: 27.05.2016
Document Type: Article
MSC: 34C05
Language: English
Citation: Alexandru Şubă, Vadim Repeşco, “Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 3, 38–56
Citation in format AMSBIB
\Bibitem{SubRep16}
\by Alexandru~\c Sub{\u a}, Vadim~Repe{\c s}co
\paper Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2016
\issue 3
\pages 38--56
\mathnet{http://mi.mathnet.ru/basm428}
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