Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic
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COZMA, Dumitru. Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 3(64), pp. 51-66. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(64) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322

Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic

Pag. 51-66

Cozma Dumitru
 
Tiraspol State University
 
 
Disponibil în IBN: 17 decembrie 2013


Rezumat

For a class of cubic differential systems with a bundle of two invariant straight lines and one invariant conic it is proved that a weak focus is a center if and only if the first four Liapunov quantities Lj , j = 1, 4 vanish.

Cuvinte-cheie
Cubic differential system, Center-focus problem, integrability,

invariant algebraic curve