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https://hdl.handle.net/2445/151921| Title: | Fern-like structures in the wild set of the standard and semistandard maps in ĉ2 |
| Author: | Gelfreich, Vasily G. Lazutkin, V. F. (Vladimir Fedorovich) Simó, Carles Tabanov, Michael B. |
| Keywords: | Sistemes dinàmics diferenciables Equacions diferencials ordinàries Varietats (Matemàtica) Universitat de Barcelona. Institut de Matemàtica |
| Issue Date: | 1991 |
| Publisher: | Universitat de Barcelona |
| Series/Report no: | Mathematics Preprint Series; 91 |
| Abstract: | The standard and semistandard maps are considered in C2 and the behaviour of the iterates on complex invariant manifolds of tbem is srudied. This is an attempt to understand complicated real dynamics by looking at the enlarged complex dynamics. Expansions of the ,, manif olds are given as well as criteria for escaping points and hyperbolicity. Sorne numerical explorations suggest the presence of fractal sbllctures of fern type. Several conjectures suggested by these preliminary explorations are stated. |
| Note: | Preprint enviat per a la seva publicació en una revista científica. |
| Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.31] |
| URI: | https://hdl.handle.net/2445/151921 |
| Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MPS_N091.pdf | 1.85 MB | Adobe PDF | View/Open |
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