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Badly ordered cycles
of circle maps
Lluís Alsedà, Jaume Llibre and MichałMisiurewicz |
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Vol. 184 (1998), No. 1, 23–41
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Abstract |
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A cycle of a circle map of degree one is badly ordered if it cannot be divided into blocks of consecutive points, such that the blocks are permuted by the map like points of a cycle of a rational rotation. We find the smallest possible rotation intervals that a map with a badly ordered cycle of a given rotation number and period can have. Moreover, we show that if one of those intervals is contained in the interior of the rotation interval of a map then the map has a corresponding badly ordered cycle. |
Milestones
Received: 16 October 1996
Published: 1 May 1998
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Authors |
| Lluís Alsedà | |
| Universitat Autònoma de
Barcelona 08193 Cerdanyola del Vallès, Barcelona Spain |
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| Jaume Llibre | |
| Universitat Autònoma de
Barcelona 08193 Cerdanyola del Vallès, Barcelona Spain |
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| MichałMisiurewicz | |
| IUPUI 402 N. Blackford Street, Indianapolis, IN 46202-3216 |
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