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Stability of parabolic points of area preserving analytic diffeomorphisms
Simó, Carles (Universitat de Barcelona. Facultat de Matemàtiques)

Data: 1980
Resum: 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.
Drets: Tots els drets reservats
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions de la Secció de Matemàtiques, V. 22 (1980) p. 67-70, ISSN 0210-2978

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DOI: 10.5565/PUBLMAT_22180_12

4 p, 108.0 KB

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