Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/132430
Title: | Stability of parabolic points of area preserving analytic diffeomorphisms |
Author: | Simó, Carles |
Keywords: | Geometria diferencial Differential geometry |
Issue Date: | 1980 |
Publisher: | Universitat Autònoma de Barcelona |
Abstract: | 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. |
Note: | Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_22180_12 |
It is part of: | Publicacions Matemàtiques, 1980, vol. 22, p. 67-70 |
URI: | http://hdl.handle.net/2445/132430 |
Related resource: | https://doi.org/10.5565/PUBLMAT_22180_12 |
ISSN: | 0214-1493 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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114073.pdf | 160.4 kB | Adobe PDF | View/Open |
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