RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.1 (41), 2003/

Classification of quadratic systems with a symmetry center and simple infinite singular points. (English)

Authors: Mircea Lupan, Vulpe Nicolae

Abstract

We classify the family of planar quadratic differential systems with a center of symmetry and two invariant straight lines according to the topology of their phase portraits. The case of the existence of simple infinite singular points is only considered. For each of the obtained distinct topological classes we give necessary and sufficient conditions in terms of algebraic invariants and comitants. The program was implemented for computer calculations.

Mircea Lupan
Department of Mathematics
"Gh. Asachi" Technical University of Iasi
1, Copou Bd,
IASI-6600, Romania
E-mail:
Nicolae Vulpe
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chisinau,
MD-2028, Republic of Moldova
E-mail:

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