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- Title
COMPLETE GEOMETRIC INVARIANT STUDY OF TWO CLASSES OF QUADRATIC SYSTEMS.
- Authors
ARTÉS, JOAN C.; LLIBRE, JAUME; VULPE, NICOLAE
- Abstract
In this article, using affine invariant conditions, we give a complete study for quadratic systems with center and for quadratic Hamiltonian systems. There are two improvements over the results in [30] that studied centers up to GL-invariant, and over the results in [1] that classified Hamiltonian quadratic systems without invariants. The geometrical affine invariant study presented here is a crucial step toward the goal of the invariant classification of all quadratic systems according to their singularities, finite and infinite.
- Subjects
GEOMETRY; HAMILTONIAN systems; QUADRATIC transformations; MATHEMATICAL singularities; AFFINE transformations
- Publication
Electronic Journal of Differential Equations, 2012, Vol 2012, p1
- ISSN
1550-6150
- Publication type
Article