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DC Field | Value | Language |
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dc.contributor.author | Simó, Carles | - |
dc.date.accessioned | 2020-02-26T15:07:40Z | - |
dc.date.available | 2020-02-26T15:07:40Z | - |
dc.date.issued | 1982 | - |
dc.identifier.uri | http://hdl.handle.net/2445/151240 | - |
dc.description | Preprint enviat per a la seva publicació en una revista científica: Astérisque, 1982, num. 98-99, p. 184-194 | ca |
dc.description.abstract | It js well known that hyperbolic points of an analytic area preserving mapping (APM) T are unstable. As a Corollary of Moser's twist thcorem the elliptic ones are stable provided the eigenvalues l. of DT at the fixed point are nota k-th root of t.he unity, k~ lf2p+2 p ~l. and any of the first p coefficients of the Birkhoff normal form is non-zero. To end the study of the stability of fixed μoints we study the parabolic ar degenerated case. Elliptic points far which stability can not be decided using directly Moser' s theorem (specially if " is a third or fourth root of the uni ty) can be reduced to the parabolic case taking a suitable power of T. The main result is that a degenerated fixed point of an analytic APM is stable if and only if the generating function of T, with the part which generates the identity suppressed, has a strict extremum at the fixed point. Sorne examples and comment are included. | ca |
dc.format.extent | 16 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.publisher | Universitat de Barcelona | ca |
dc.relation.isformatof | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 31.3] | - |
dc.relation.ispartofseries | Mathematics Preprint Series; 3 | ca |
dc.rights | (c) Carles Simó, 1982 | - |
dc.source | Preprints de Matemàtiques - Mathematics Preprint Series | - |
dc.subject.classification | Dinàmica topològica | - |
dc.subject.classification | Varietats (Matemàtica) | - |
dc.subject.other | Universitat de Barcelona. Institut de Matemàtica | - |
dc.title | Stability of degenerated fixed points of analytic area preserving mappings | ca |
dc.type | info:eu-repo/semantics/article | ca |
dc.type | info:eu-repo/semantics/submittedVersion | - |
dc.identifier.dl | DL B 4267-1982 Biblioteca de Catalunya | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N003.pdf | 410.93 kB | Adobe PDF | View/Open |
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