This article is cited in 12 papers

Research articles

The cubic differential system with six real invariant straight lines along three directions

V. Puţuntică^a, A. Şubă<sup>b

a</sup> Department of Mathematics, Tiraspol State University, Chişinău, Moldova
^b Department of Mathematics, State University of Moldova, Chişinău, Moldova

Abstract: We classify all cubic systems possessing exactly six real invariant straight lines along three directions taking into account their degree of invariance. We prove that there are 6 affine different classes of such systems. For every class we carried out the qualitative investigation in the Poincaré disc.

Keywords and phrases: cubic differential system, invariant line.

MSC: 34C05

Received: 05.02.2009

Language: English

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