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Stability of parabolic points of area preserving analytic diffeomorphisms

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Theorems characterizing stable parabolic points are proved. Essentially, stability is equivalent to the fact that the generating function of the differomorphism, taking out the part which generates the identity, has a strict extremum at the fixed point. With these results, the study of the stability of fixed points of analytic area preserving mappings (APM) is ended . Some examples are included, specially the case of elliptic points whose ei-genvalues are cubic or fourth roots of unity.

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Publicacions Matemàtiques, 1980, vol. 22, p. 67-70

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(c) Universitat Autònoma de Barcelona, 1980

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Stability of parabolic points of area preserving analytic diffeomorphisms