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IMCS/Publications/BASM/Issues/BASM n.2 (69), 2012/

Cubic systems with seven invariant straight lines of configuration (3,3,1)

Authors: Şubă Alexandru, Vadim Repeşco, Vitalie Puţuntică
Keywords: Cubic diferential system, invariant straight line, phase portrait.

Abstract

We classify all cubic differential systems with exactly seven invariant straight lines (taking into account their parallel multiplicity) which form a configuration of type (3,3,1). We prove that there are six different topological classes of such systems. For every class we carried out the qualitative investigation on the Poincaré disc. Some properties of cubic systems with invariant straight lines are given.

Alexandru Şubă
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chişinău
MD−2028, Moldova
E-mail:

Vadim Repeşco, Vitalie Puţuntică
Tiraspol State University
5 Ghenadie Iablocikin str., Chişinău,
MD−2069, Moldova
E-mail: ,

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