This article is cited in 6 papers

Short communications

One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N. Vulpe

Cristina Bujac

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: We present a new class of cubic systems with invariant lines of total multiplicity 9, including the line at infinity endowed with its own multiplicity. This class is different from the 23 classes included in the classification given in {4} by J. Llibre and N. Vulpe.

Keywords and phrases: cubic differential system, configuration of invariant straight lines, multiplicity of an invariant straight line, group action, affine invariant polynomial.

MSC: 34G20, 34A26, 14L30, 34C14

Received: 22.07.2014

Language: English