The index of singularities of vector fields and finite jets
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Saghin, Radu (Universitat Autònoma de Barcelona. Centre de Recerca per a l'Educació Científica i Matemàtica)

Date:	2011
Abstract:	We describe when the index of a singularity of a smooth vector field is determined by a finite jet at the singularity. We also give some criteria to determine some terms from the formal series expansion of the vector field at the singularity which determine the index.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author has been supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Topological index ; Vector fields ; Newton diagram
Published in:	Journal of differential equations, Vol. 251 (2011) , p. 2822-2832, ISSN 1090-2732

DOI: 10.1016/j.jde.2011.04.015

Postprint 13 p, 342.5 KB

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