Equicontinuity of iterates of circle maps
Let f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates {fn}n=1∞ to be equicontinuous.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000623 |
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| _version_ | 1832562505116811264 |
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| author | Antonios Valaristos |
| author_facet | Antonios Valaristos |
| author_sort | Antonios Valaristos |
| collection | DOAJ |
| description | Let f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates {fn}n=1∞
to be equicontinuous. |
| format | Article |
| id | doaj-art-df3d0a28d0964e7e8f8515c0d4f3337b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-df3d0a28d0964e7e8f8515c0d4f3337b2025-02-03T01:22:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121345345810.1155/S0161171298000623Equicontinuity of iterates of circle mapsAntonios Valaristos0Department of Mathematics, University of Florida, Crainesville 32611, FL, USALet f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates {fn}n=1∞ to be equicontinuous.http://dx.doi.org/10.1155/S0161171298000623Equicontinuityperiod of a periodic point. |
| spellingShingle | Antonios Valaristos Equicontinuity of iterates of circle maps International Journal of Mathematics and Mathematical Sciences Equicontinuity period of a periodic point. |
| title | Equicontinuity of iterates of circle maps |
| title_full | Equicontinuity of iterates of circle maps |
| title_fullStr | Equicontinuity of iterates of circle maps |
| title_full_unstemmed | Equicontinuity of iterates of circle maps |
| title_short | Equicontinuity of iterates of circle maps |
| title_sort | equicontinuity of iterates of circle maps |
| topic | Equicontinuity period of a periodic point. |
| url | http://dx.doi.org/10.1155/S0161171298000623 |
| work_keys_str_mv | AT antoniosvalaristos equicontinuityofiteratesofcirclemaps |