Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
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517.9 (244)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242)
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TURUTA (PODERIOGHIN), Silvia. Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 1(92), pp. 89-105. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(92) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322

Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four

CZU: 517.9
MSC 2010: 34C05.

Pag. 89-105

Turuta (Poderioghin) Silvia
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 5 septembrie 2020


Rezumat

In this article, we study the planar cubic differential systems with a monodromic non-degenerate critical point and three affine invariant straight lines of total multiplicity four. We classify these systems and prove that monodromic point is of the center type if and only if the first Lyapunov quantity vanishes.

Cuvinte-cheie
Cubic differential system, center problem, invariant straight line