Complete geometric invariant study of two classes of quadratic systems
Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Vulpe, Nicolae (Academy of Sciences of Moldova. Institute of Mathematics and Computer Science)

Date:	2012
Abstract:	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).
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quadratic vector fields ; Weak singularities ; Type of singularity
Published in:	Electronic journal of differential equations, Vol. 2012 Núm. 9 (2012) , p. 1-35, ISSN 1072-6691

Postprint 28 p, 571.0 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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