Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
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517.925.41 (2)
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (172)
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SUBA, Alexandru; REPEŞCO, Vadim. Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2016, nr. 3(82), pp. 38-56. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Moldovei. Matematica
Numărul 3(82) / 2016 / ISSN 1024-7696

Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
CZU: 517.925.41
MSC 2010: 34C05

Pag. 38-56

Suba Alexandru1, Repeşco Vadim2
 
1 Institute of Mathematics and Computer Science ASM,
2 Tiraspol State University (TSU)
 
Proiect:
INTAS 2004-78-7193 Imaging GaAs X-ray Detectors
 
Disponibil în IBN: 19 aprilie 2017


Rezumat

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 Poincar´e disc.

Cuvinte-cheie
Cubic differential system, invariant straight line, phase portrait