Simó, Carles2019-04-262019-04-2619800214-1493https://hdl.handle.net/2445/132430Theorems 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.4 p.application/pdfeng(c) Universitat Autònoma de Barcelona, 1980Geometria diferencialDifferential geometryinfo:eu-repo/semantics/article1140732019-04-26info:eu-repo/semantics/openAccess