Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/79785
Type: Artigo de periódico
Title: Reversibility and quasi-homogeneous normal forms of vector fields
Author: Algaba, A
Garcia, C
Teixeira, MA
Abstract: This paper uses tools in quasi-homogeneous normal form theory to discuss certain aspects of reversible vector fields around an equilibrium point. Our main result provides an algorithm, via Lie Triangle, that detects the non-reversibility of vector fields. That is, it is possible to decide whether a planar center is not reversible. Some of the theory developed is also applied to get further results on nilpotent and degenerate polynomial vector fields. We find several families of nilpotent centers which are non-reversible. (C) 2010 Elsevier Ltd. All rights reserved.
Subject: Reversibility
Quasi-homogeneous system
Normal form
Singularity
Center
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.na.2010.03.046
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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