| dc.contributor.author | Al-Sharawi, Ziyad | |
| dc.date.accessioned | 2020-06-09T07:48:32Z | |
| dc.date.available | 2020-06-09T07:48:32Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.uri | http://hdl.handle.net/11073/16688 | |
| dc.description.abstract | We study the combinatorial structure of periodic orbits of nonautonomous difference equations 𝒳ₙ₊₁ = 𝒇ₙ(𝒳ₙ) 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 𝒇ₙ 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. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.uri | https://doi.org/10.1016/j.camwa.2008.04.020 | en_US |
| dc.subject | Periodic difference equations | en_US |
| dc.subject | Periodic orbits | en_US |
| dc.subject | Combinatorial dynamics | en_US |
| dc.subject | Population models | en_US |
| dc.title | Periodic Orbits in Periodic Discrete Dynamics | en_US |
| dc.type | Peer-Reviewed | en_US |
| dc.type | Article | en_US |
| dc.type | Preprint | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2008.04.020 | |
