Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/96215
Type: Artigo de periódico
Title: Quasi-conservative Maps And Normal Forms For Unstable Fixed Points
Author: de Matos M.B.
Ozorio de Almeida A.M.
Abstract: The real eigenvalues λ1 and λ2 of an unstable fixed point of a plane diffeomorphism are resonant when λj = λn 1λm 2. To avoid the presence of dense resonances in a one-parameter family of maps we propose a generalisation of the Birkhoff normal form for quasi-conservative maps. This generalisation does not converge on the resonances but even there it can be taken as an excellent approximation. We use it to calculate homoclinic points with great precision. © 1994.
Editor: 
Rights: fechado
Identifier DOI: 10.1016/0375-9601(94)90984-9
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-22244459321&partnerID=40&md5=886219d5d7e1ddad79aa3861ae811c42
Date Issue: 1994
Appears in Collections:Unicamp - Artigos e Outros Documentos

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