Periodic Orbits in Periodic Discrete Dynamics
We study the combinatorial structure of periodic orbits of nonautonomous difference equations ₙ₊₁ = ₙ(ₙ) in a periodically fluctuating environment. We define the Ӷ-set to be the set of minimal periods that are not multiples of the phase period. We show that when the functions ₙ are rational function...
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2008
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| Online Access: | http://hdl.handle.net/11073/16688 |
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| _version_ | 1864513443317415936 |
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| author | Al-Sharawi, Ziyad |
| author_facet | Al-Sharawi, Ziyad |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad |
| dc.date.none.fl_str_mv | 2008 2020-06-09T07:48:32Z 2020-06-09T07:48:32Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z. (2008). Periodic orbits in periodic discrete dynamics. Computers and Mathematics with Applications, 56(8), 1966–1974. https://doi.org/10.1016/j.camwa.2008.04.020 0898-1221 http://hdl.handle.net/11073/16688 10.1016/j.camwa.2008.04.020 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.relation.none.fl_str_mv | https://doi.org/10.1016/j.camwa.2008.04.020 |
| dc.subject.none.fl_str_mv | Periodic difference equations Periodic orbits Combinatorial dynamics Population models |
| dc.title.none.fl_str_mv | Periodic Orbits in Periodic Discrete Dynamics |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We study the combinatorial structure of periodic orbits of nonautonomous difference equations ₙ₊₁ = ₙ(ₙ) in a periodically fluctuating environment. We define the Ӷ-set to be the set of minimal periods that are not multiples of the phase period. We show that when the functions ₙ are rational functions, the Ӷ-set is a finite set. In particular, we investigate several mathematical models of single-species without age structure, and find that periodic oscillations are influenced by periodic environments to the extent that almost all periods are divisors or multiples of the phase period. |
| format | article |
| id | aus_89ed3d769d9deccb43097828256aacde |
| identifier_str_mv | AlSharawi, Z. (2008). Periodic orbits in periodic discrete dynamics. Computers and Mathematics with Applications, 56(8), 1966–1974. https://doi.org/10.1016/j.camwa.2008.04.020 0898-1221 10.1016/j.camwa.2008.04.020 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16688 |
| publishDate | 2008 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Periodic Orbits in Periodic Discrete DynamicsAl-Sharawi, ZiyadPeriodic difference equationsPeriodic orbitsCombinatorial dynamicsPopulation modelsWe study the combinatorial structure of periodic orbits of nonautonomous difference equations ₙ₊₁ = ₙ(ₙ) in a periodically fluctuating environment. We define the Ӷ-set to be the set of minimal periods that are not multiples of the phase period. We show that when the functions ₙ are rational functions, the Ӷ-set is a finite set. In particular, we investigate several mathematical models of single-species without age structure, and find that periodic oscillations are influenced by periodic environments to the extent that almost all periods are divisors or multiples of the phase period.Elsevier2020-06-09T07:48:32Z2020-06-09T07:48:32Z2008Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z. (2008). Periodic orbits in periodic discrete dynamics. Computers and Mathematics with Applications, 56(8), 1966–1974. https://doi.org/10.1016/j.camwa.2008.04.0200898-1221http://hdl.handle.net/11073/1668810.1016/j.camwa.2008.04.020en_UShttps://doi.org/10.1016/j.camwa.2008.04.020oai:repository.aus.edu:11073/166882024-08-22T12:02:05Z |
| spellingShingle | Periodic Orbits in Periodic Discrete Dynamics Al-Sharawi, Ziyad Periodic difference equations Periodic orbits Combinatorial dynamics Population models |
| status_str | publishedVersion |
| title | Periodic Orbits in Periodic Discrete Dynamics |
| title_full | Periodic Orbits in Periodic Discrete Dynamics |
| title_fullStr | Periodic Orbits in Periodic Discrete Dynamics |
| title_full_unstemmed | Periodic Orbits in Periodic Discrete Dynamics |
| title_short | Periodic Orbits in Periodic Discrete Dynamics |
| title_sort | Periodic Orbits in Periodic Discrete Dynamics |
| topic | Periodic difference equations Periodic orbits Combinatorial dynamics Population models |
| url | http://hdl.handle.net/11073/16688 |