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| HAL: hal-00372472, version 1 |
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| Journal of Fixed Point Theory and Applications 3, 2 (2008) 449-463 |
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| Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins |
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| Yuli Ilyashenko 1, 2, 3, 4Victor Kleptsyn 5 |
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| (2008) |
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| We prove that the set of smooth maps of an annulus with two attracting sets, both having metrically dense attracting basins, is open in an appropriate function space. Thus a 1994 claim of I. Kan is justified |
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| 1: | Higher College of Mathematics |
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Independent University of Moscow |
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| 2: | Institut Steklov |
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Steklov Mathematical Institute, Moscow |
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| 3: | Department of Mathematics |
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Lomonosov Moscow State University |
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| 4: | Department of Mathematics |
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Cornell University |
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| 5: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 6: | Department of Mathematics |
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Moscow State University |
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| Subject | : | Mathematics/Dynamical Systems |
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| Attractors – basins – density – Hölder continuity – Hausdorff dimension |
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| hal-00372472, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00372472 | |
| oai:hal.archives-ouvertes.fr:hal-00372472 | |
| From: Dominique Hervé | |
| Submitted on: Wednesday, 1 April 2009 11:43:51 | |
| Updated on: Wednesday, 1 April 2009 11:43:51 | |
