On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions
In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. In this note we investigate the sets of fixed points and periodic points of continuously differentiable functions and show that typically such functions have a finite set of fixe...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/929475 |
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| _version_ | 1832558534144819200 |
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| author | Aliasghar Alikhani-Koopaei |
| author_facet | Aliasghar Alikhani-Koopaei |
| author_sort | Aliasghar Alikhani-Koopaei |
| collection | DOAJ |
| description | In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. In this note we investigate the sets of fixed points and periodic points of continuously differentiable functions and show that typically such functions have a finite set of fixed points and a countable set of periodic points. |
| format | Article |
| id | doaj-art-6c1f9765ae5f4cd7bd065c37a15474a1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6c1f9765ae5f4cd7bd065c37a15474a12025-02-03T01:32:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/929475929475On the Set of Fixed Points and Periodic Points of Continuously Differentiable FunctionsAliasghar Alikhani-Koopaei0Department of Mathematics, Berks College, Pennsylvania State University, Tulpehocken Road, P.O. Box 7009, Reading, PA 19610-6009, USAIn recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. In this note we investigate the sets of fixed points and periodic points of continuously differentiable functions and show that typically such functions have a finite set of fixed points and a countable set of periodic points.http://dx.doi.org/10.1155/2013/929475 |
| spellingShingle | Aliasghar Alikhani-Koopaei On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions International Journal of Mathematics and Mathematical Sciences |
| title | On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions |
| title_full | On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions |
| title_fullStr | On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions |
| title_full_unstemmed | On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions |
| title_short | On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions |
| title_sort | on the set of fixed points and periodic points of continuously differentiable functions |
| url | http://dx.doi.org/10.1155/2013/929475 |
| work_keys_str_mv | AT aliasgharalikhanikoopaei onthesetoffixedpointsandperiodicpointsofcontinuouslydifferentiablefunctions |