Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one ot...
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117128400082X |
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| _version_ | 1832561240209096704 |
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| author | Abraham Boyarsky |
| author_facet | Abraham Boyarsky |
| author_sort | Abraham Boyarsky |
| collection | DOAJ |
| description | A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain. |
| format | Article |
| id | doaj-art-aec0cd77bbd54c3a892ea36438d1653c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-aec0cd77bbd54c3a892ea36438d1653c2025-02-03T01:25:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017480380810.1155/S016117128400082XDynamical properties of maps derived from maps with strong negative Schwarzian derivativeAbraham Boyarsky0Department of Mathematics, Loyola Campus, Concordia University, Montréal H4B 1R6, CanadaA strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain.http://dx.doi.org/10.1155/S016117128400082Xdynamical systemslimiting behaviourSchwarzian derivativeconvolutionstable periodic orbit. |
| spellingShingle | Abraham Boyarsky Dynamical properties of maps derived from maps with strong negative Schwarzian derivative International Journal of Mathematics and Mathematical Sciences dynamical systems limiting behaviour Schwarzian derivative convolution stable periodic orbit. |
| title | Dynamical properties of maps derived from maps with strong negative Schwarzian derivative |
| title_full | Dynamical properties of maps derived from maps with strong negative Schwarzian derivative |
| title_fullStr | Dynamical properties of maps derived from maps with strong negative Schwarzian derivative |
| title_full_unstemmed | Dynamical properties of maps derived from maps with strong negative Schwarzian derivative |
| title_short | Dynamical properties of maps derived from maps with strong negative Schwarzian derivative |
| title_sort | dynamical properties of maps derived from maps with strong negative schwarzian derivative |
| topic | dynamical systems limiting behaviour Schwarzian derivative convolution stable periodic orbit. |
| url | http://dx.doi.org/10.1155/S016117128400082X |
| work_keys_str_mv | AT abrahamboyarsky dynamicalpropertiesofmapsderivedfrommapswithstrongnegativeschwarzianderivative |