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Página principal > Artículos > Artículos publicados > Stability of parabolic points of area preserving analytic diffeomorphisms |
Fecha: | 1980 |
Resumen: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Publicado en: | Publicacions de la Secció de Matemàtiques, V. 22 (1980) p. 67-70, ISSN 0210-2978 |
4 p, 108.0 KB |