Center problem for cubic systems with a bundle of two invariant straight lines and one invariant conic
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COZMA, Dumitru. Center problem for cubic systems with a bundle of two invariant straight lines and one invariant conic. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 1(68), pp. 32-49. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(68) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

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

Pag. 32-49

Cozma Dumitru
 
Tiraspol State University
 
Proiecte:
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

For 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
Center-focus problem, Cubic differential system, integrability, invariant algebraic curve