LACO, Departement de Mathematiques
Faculte des Sciences, Universite de Limoges
123, Avenue A. Thomas, 87060, Limoges, France
email: boularas@alpha1.unilim.fr
D. Boularas
Abstract:
We give some properties of the saddle conic of quadratic differential
systems. We also deduce semi-algebraic conditions for the existence
of one, two or three saddle points (in terms of affine invariants).
Submitted December 16, 1999. Published March 28, 2000.
Math Subject Classifications: 34C05, 34C20.
Key Words: nonlinear differential systems, saddle points,
qualitative theory of ordinary differential systems,
critical points, invariant theory.
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Driss Boularas LACO, Departement de Mathematiques Faculte des Sciences, Universite de Limoges 123, Avenue A. Thomas, 87060, Limoges, France email: boularas@alpha1.unilim.fr |
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