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dc.contributor.authorAl-Sharawi, Ziyad
dc.date.accessioned2022-04-08T05:24:30Z
dc.date.available2022-04-08T05:24:30Z
dc.date.issued2022-02
dc.identifier.citationAlSharawi, Z. (2022). Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity. In Chaos, Solitons & Fractals (Vol. 157, p. 111933). Elsevier BV. https://doi.org/10.1016/j.chaos.2022.111933en_US
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/11073/23576
dc.description.abstractIn this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is p-periodic in its first component, non-decreasing in its second component and non-increasing in its third component. The map F is referred to as periodic of mixed monotonicity, which broadens the notion of maps of mixed monotonicity. We introduce the concept of artificial cycles, and we develop the embedding technique to tackle periodicity and globally attracting cycles in periodic 2-dimensional maps of mixed monotonicity. We present a result on globally attracting cycles and demonstrate its application to periodic systems. The first application is a periodic rational difference equation of second order, and the second application is a population model with periodic stocking. In both cases, we prove the existence of a globally attracting cycle.en_US
dc.description.sponsorshipAmerican University of Sharjahen_US
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.relation.urihttps://doi.org/10.1016/j.chaos.2022.111933en_US
dc.subjectMixed monotonicityen_US
dc.subjectGlobal stabilityen_US
dc.subjectEmbeddingen_US
dc.subjectPeriodic mapsen_US
dc.subjectCyclesen_US
dc.subjectAttractoren_US
dc.titleEmbedding and global stability in periodic 2-dimensional maps of mixed monotonicityen_US
dc.typeArticleen_US
dc.typePeer-Revieweden_US
dc.typePostprinten_US
dc.identifier.doi10.1016/j.chaos.2022.111933


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