| dc.contributor.author | Al-Sharawi, Ziyad | |
| dc.contributor.author | Al-Ghassani, Asma | |
| dc.contributor.author | Amleh, Amal | |
| dc.date.accessioned | 2020-06-04T09:21:31Z | |
| dc.date.available | 2020-06-04T09:21:31Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Basin of Attraction through Invariant Curves and Dominant FunctionsAlSharawi, Z., Al-Ghassani, A., and Amleh, A. M. (2015). Basin of attraction through invariant curves and dominant functions. Discrete Dynamics in Nature and Society, 2015. doi: 10.1155/2015/160672 | en_US |
| dc.identifier.issn | 1607-887X | |
| dc.identifier.uri | http://hdl.handle.net/11073/16678 | |
| dc.description.abstract | We study a second-order difference equation of the form 𝑧ₙ₊₁= 𝑧ₙ𝐹(𝑧ₙ₋₁) + ℎ, where both 𝐹(𝑧) and 𝑧𝐹(𝑧) are decreasing. We consider a set of invariant curves at ℎ = 1 and use it to characterize the behaviour of solutions when ℎ > 1 and when 0 < ℎ < 1.The case ℎ > 1 is related to the Y2K problem. For 0 < ℎ < 1, we study the stability of the equilibrium solutions and find an invariant region where solutions are attracted to the stable equilibrium. In particular, for certain range of the parameters, a subset of the basin of attraction of the stable equilibrium is achieved by bounding positive solutions using the iteration of dominant functions with attracting equilibria. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Hindawi | en_US |
| dc.relation.uri | https://doi.org/10.1155/2015/160672 | en_US |
| dc.title | Basin of Attraction through Invariant Curves and Dominant Functions | en_US |
| dc.type | Peer-Reviewed | en_US |
| dc.type | Article | en_US |
| dc.type | Published version | en_US |
| dc.identifier.doi | 10.1155/2015/160672 | |
