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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (68), 2012/

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

Authors: Dumitru Cozma

Abstract

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 $L_j,\;j=\overline{1,4}$, vanish.

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