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Pàgina inicial > Articles > Articles publicats > Complete geometric invariant study of two classes of quadratic systems |
Data: | 2012 |
Resum: | In this paper we give a complete study using affine invariant conditions for the quadratic systems having centers. Independently we do the same for quadratic systems being Hamiltonian. There are two improvements of the previous results as [29] in which centers where study up to GL-invariant, and of [1] in which Hamiltonian QS where classified without invariants. The geometrical affine invariant study we present here is a crucial step for a bigger goal which is a complete affine invariant algebraic classification of the whole family of quadratic systems according to all their singular points (finite and infinite). |
Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Quadratic vector fields ; Weak singularities ; Type of singularity |
Publicat a: | Electronic journal of differential equations, Vol. 2012 Núm. 9 (2012) , p. 1-35, ISSN 1072-6691 |
Postprint 28 p, 571.0 KB |