| dc.contributor.author | Al-Sharawi, Ziyad | |
| dc.contributor.author | Angelos, James | |
| dc.date.accessioned | 2020-06-09T08:01:03Z | |
| dc.date.available | 2020-06-09T08:01:03Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Alsharawi, Z., & Angelos, J. (2007). On the periodic logistic equation. Applied Mathematics and Computation, 180(1), 342. https://doi.org/10.1016/j.amc.2005.12.016 | en_US |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | http://hdl.handle.net/11073/16689 | |
| dc.description.abstract | We show that the 𝒑-periodic logistic equation 𝒳ₙ₊₁ = μₙ mod 𝒑𝒳ₙ(1 - 𝒳ₙ) has cycles (periodic solutions) of minimal periods 1; 𝒑; 2𝒑; 3𝒑; …. Then we extend Singer’s theorem to periodic difference equations, and use it to show the 𝒑-periodic logistic equation has at most 𝒑 stable cycles. Also, we present computational methods investigating the stable cycles in case 𝒑 = 2 and 3. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.uri | https://doi.org/10.1016/j.amc.2005.12.016 | en_US |
| dc.subject | Logistic map | en_US |
| dc.subject | Non-autonomous | en_US |
| dc.subject | Periodic solutions | en_US |
| dc.subject | Singer’s theorem | en_US |
| dc.subject | Attractors | en_US |
| dc.title | On the periodic logistic equation | en_US |
| dc.type | Peer-Reviewed | en_US |
| dc.type | Article | en_US |
| dc.type | Preprint | en_US |
| dc.identifier.doi | 10.1016/j.amc.2005.12.016 | |
