Topological conjugacies of piecewise monotone interval maps
Our aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. First, we are concerned with maps satisfying a Markov condition and next with those admitting a certain countable partition. Finally, we compute the topological entropy in...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004343 |
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| _version_ | 1832568328373141504 |
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| author | Nikos A. Fotiades Moses A. Boudourides |
| author_facet | Nikos A. Fotiades Moses A. Boudourides |
| author_sort | Nikos A. Fotiades |
| collection | DOAJ |
| description | Our aim is to establish the topological conjugacy between piecewise
monotone expansive interval maps and piecewise linear maps. First,
we are concerned with maps satisfying a Markov condition and next
with those admitting a certain countable partition. Finally, we
compute the topological entropy in the Markov case. |
| format | Article |
| id | doaj-art-f3cefc70c1ce47c48ce7c09e7e7b9dd6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f3cefc70c1ce47c48ce7c09e7e7b9dd62025-02-03T00:59:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125211912710.1155/S0161171201004343Topological conjugacies of piecewise monotone interval mapsNikos A. Fotiades0Moses A. Boudourides1Section of Mathematics, Department of Electrical and Computer Engineering, Democritus University of Thrace, Xantih 67 100, GreeceSection of Mathematics, Department of Electrical and Computer Engineering, Democritus University of Thrace, Xantih 67 100, GreeceOur aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. First, we are concerned with maps satisfying a Markov condition and next with those admitting a certain countable partition. Finally, we compute the topological entropy in the Markov case.http://dx.doi.org/10.1155/S0161171201004343 |
| spellingShingle | Nikos A. Fotiades Moses A. Boudourides Topological conjugacies of piecewise monotone interval maps International Journal of Mathematics and Mathematical Sciences |
| title | Topological conjugacies of piecewise monotone interval maps |
| title_full | Topological conjugacies of piecewise monotone interval maps |
| title_fullStr | Topological conjugacies of piecewise monotone interval maps |
| title_full_unstemmed | Topological conjugacies of piecewise monotone interval maps |
| title_short | Topological conjugacies of piecewise monotone interval maps |
| title_sort | topological conjugacies of piecewise monotone interval maps |
| url | http://dx.doi.org/10.1155/S0161171201004343 |
| work_keys_str_mv | AT nikosafotiades topologicalconjugaciesofpiecewisemonotoneintervalmaps AT mosesaboudourides topologicalconjugaciesofpiecewisemonotoneintervalmaps |