This article is cited in 2 papers

Research articles

Classification of quadratic systems with a symmetry center and simple infinite singular points

Mircea Lupan^a, Nicolae Vulpe<sup>b

a</sup> Department of Mathematics, "Gh. Asachi" Technical University of Iasi, Iasi, Romania
^b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Republic of Moldova

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.

Keywords and phrases: quadratic differential system, invariant line, phase portrait, limit cycle.

MSC: 34C14, 34C05, 58F14

Received: 30.12.2002

Language: English

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