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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.
Rights: fechado
Identifier DOI: 10.1016/0375-9601(94)90984-9
Date Issue: 1994
Appears in Collections:Unicamp - Artigos e Outros Documentos

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