dc.contributor.author | Al-Salman, Ahmad | |
dc.contributor.author | Al-Sharawi, Ziyad | |
dc.date.accessioned | 2020-06-11T10:41:35Z | |
dc.date.available | 2020-06-11T10:41:35Z | |
dc.date.issued | 2011-11 | |
dc.identifier.citation | Al-Salman, A., & AlSharawi, Z. (2011). A new characterization of periodic oscillations in periodic difference equations. Chaos, Solitons and Fractals, 44(11), 921–928. https://doi.org/10.1016/j.chaos.2011.07.011 | en_US |
dc.identifier.issn | 1873-2887 | |
dc.identifier.uri | http://hdl.handle.net/11073/16694 | |
dc.description.abstract | In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the well-known Sharkovsky's ordering multiplied by p. On the other hand, we show that the elements of the set Γp of nonmultiples of p are independent in their existence. Moreover, we show the existence of a p-periodic difference equation with infinite Γp-set in which the maps are defined on a compact domain and agree exactly on a countable set. Based on the proposed classification, we give a refinement of Sharkovsky's theorem for periodic difference equations. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.uri | https://doi.org/10.1016/j.chaos.2011.07.011 | en_US |
dc.subject | Periodic difference equations | en_US |
dc.subject | Periodic orbits | en_US |
dc.subject | Sharkovsky's theorem | en_US |
dc.title | A new characterization of periodic oscillations in periodic difference equations | en_US |
dc.type | Peer-Reviewed | en_US |
dc.type | Article | en_US |
dc.type | Preprint | en_US |
dc.identifier.doi | 10.1016/j.chaos.2011.07.011 | |