This article is cited in 2 papers

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

Dumitru Cozma

Department of Mathematics, Tiraspol State University, Chişinău, Moldova

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.

Keywords and phrases: cubic differential system, center-focus problem, invariant algebraic curve, integrability.

MSC: 34C05

Received: 29.07.2011

Language: English

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