This article is cited in 3 papers

Research articles

Solution of the center problem for cubic systems with a bundle of three invariant straight lines

Alexandru Şubă

Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova

Abstract: For cubic differential system with three invariant straight lines which pass through the same point it is proved that a singular point with purely imaginary eigenvalues (weak focus) is a center if and only if the focal values $g_{2j+1}$, $j=\overline{1,5}$, vanish.

Keywords and phrases: cubic systems of differential equations, center-focus problem, invariant algebraic curves, integrability.

MSC: 34C05

Received: 29.11.2001

Language: English

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