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

Dimitru Cozma

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 51-66.

Résumé

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

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