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| HAL: hal-00595910, version 1 |
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| Computation of rotation numbers for a class of PL-circle homeomorphisms |
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| Abdelhamid Adouani 1Habib Marzougui 2 |
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| For the Abdelhamid Adouani collaboration(s) |
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| (2011-05-25) |
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| We give an explicite formula to compute rotation numbers of piecewise linear (PL) circle homeomorphisms f with the product of f-jumps in the break points contained in a same orbit is trivial. In particu- lar, a simple formulas are then given for particular PL-homeomorphisms such as the PL-Herman's examples. We also deduce that if the slopes of f are integral powers of an integer m 2 and break points and their images under f are m-adic rational numbers, then the rotation number of f is rational. |
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| 1: | Faculté des Sciences de Bizerte |
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Inst. Prép. Etud. Ingén. Bizerte |
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| 2: | Faculté des Sciences de Bizerte |
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Faculté des Sciences de Bizerte |
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| Subject | : | Mathematics/Dynamical Systems |
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| hal-00595910, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00595910 | |
| oai:hal.archives-ouvertes.fr:hal-00595910 | |
| From: Habib Marzougui | |
| Submitted on: Wednesday, 25 May 2011 20:06:58 | |
| Updated on: Wednesday, 25 May 2011 22:26:31 | |
