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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (64), 2010/

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

Authors: Dumitru Cozma
Keywords: Cubic differential system, center-focus problem, invariant algebraic curve, integrability

Abstract

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.

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