Folding and unfolding in periodic difference equations
Given a p-periodic difference equation xn+1 = fn mod p(xn), where each fj is a continuous interval map, j = 0, 1, . . . , p − 1, we discuss the notion of folding and unfolding related to this type of non-autonomous equations. It is possible to glue certain maps of this equation to shorten its period...
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2014
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| Online Access: | http://hdl.handle.net/11073/16700 |
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| _version_ | 1864513440705413120 |
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| author | Al-Sharawi, Ziyad |
| author2 | Cánovas, Jose Linero, Antonio |
| author2_role | author author |
| author_facet | Al-Sharawi, Ziyad Cánovas, Jose Linero, Antonio |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad Cánovas, Jose Linero, Antonio |
| dc.date.none.fl_str_mv | 2014 2020-06-14T12:38:14Z 2020-06-14T12:38:14Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z., Cánovas, J., & Linero, A. (2014). Folding and unfolding in periodic difference equations. Journal of Mathematical Analysis and Applications, 417(2), 643–659. https://doi.org/10.1016/j.jmaa.2014.03.060 1096-0813 http://hdl.handle.net/11073/16700 10.1016/j.jmaa.2014.03.060 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Elseiver |
| dc.relation.none.fl_str_mv | https://doi.org/10.1016/j.jmaa.2014.03.060 |
| dc.subject.none.fl_str_mv | Non-autonomous difference equations Alternating systems Interval maps Periodic solutions Periods Cycles Folding Unfolding |
| dc.title.none.fl_str_mv | Folding and unfolding in periodic difference equations |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Given a p-periodic difference equation xn+1 = fn mod p(xn), where each fj is a continuous interval map, j = 0, 1, . . . , p − 1, we discuss the notion of folding and unfolding related to this type of non-autonomous equations. It is possible to glue certain maps of this equation to shorten its period, which we call folding. On the other hand, we can unfold the glued maps so the original structure can be recovered or understood. Here, we focus on the periodic structure under the effect of folding and unfolding. In particular, we analyze the relationship between the periods of periodic sequences of the p-periodic difference equation and the periods of the corresponding subsequences related to the folded systems. |
| format | article |
| id | aus_16131800ac1fc9b9e6dbb8d64f9ab958 |
| identifier_str_mv | AlSharawi, Z., Cánovas, J., & Linero, A. (2014). Folding and unfolding in periodic difference equations. Journal of Mathematical Analysis and Applications, 417(2), 643–659. https://doi.org/10.1016/j.jmaa.2014.03.060 1096-0813 10.1016/j.jmaa.2014.03.060 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16700 |
| publishDate | 2014 |
| publisher.none.fl_str_mv | Elseiver |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Folding and unfolding in periodic difference equationsAl-Sharawi, ZiyadCánovas, JoseLinero, AntonioNon-autonomous difference equationsAlternating systemsInterval mapsPeriodic solutionsPeriodsCyclesFoldingUnfoldingGiven a p-periodic difference equation xn+1 = fn mod p(xn), where each fj is a continuous interval map, j = 0, 1, . . . , p − 1, we discuss the notion of folding and unfolding related to this type of non-autonomous equations. It is possible to glue certain maps of this equation to shorten its period, which we call folding. On the other hand, we can unfold the glued maps so the original structure can be recovered or understood. Here, we focus on the periodic structure under the effect of folding and unfolding. In particular, we analyze the relationship between the periods of periodic sequences of the p-periodic difference equation and the periods of the corresponding subsequences related to the folded systems.Elseiver2020-06-14T12:38:14Z2020-06-14T12:38:14Z2014Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z., Cánovas, J., & Linero, A. (2014). Folding and unfolding in periodic difference equations. Journal of Mathematical Analysis and Applications, 417(2), 643–659. https://doi.org/10.1016/j.jmaa.2014.03.0601096-0813http://hdl.handle.net/11073/1670010.1016/j.jmaa.2014.03.060en_UShttps://doi.org/10.1016/j.jmaa.2014.03.060oai:repository.aus.edu:11073/167002024-08-22T12:01:41Z |
| spellingShingle | Folding and unfolding in periodic difference equations Al-Sharawi, Ziyad Non-autonomous difference equations Alternating systems Interval maps Periodic solutions Periods Cycles Folding Unfolding |
| status_str | publishedVersion |
| title | Folding and unfolding in periodic difference equations |
| title_full | Folding and unfolding in periodic difference equations |
| title_fullStr | Folding and unfolding in periodic difference equations |
| title_full_unstemmed | Folding and unfolding in periodic difference equations |
| title_short | Folding and unfolding in periodic difference equations |
| title_sort | Folding and unfolding in periodic difference equations |
| topic | Non-autonomous difference equations Alternating systems Interval maps Periodic solutions Periods Cycles Folding Unfolding |
| url | http://hdl.handle.net/11073/16700 |