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Mathematical Methods in the Applied Sciences
Article . 2018 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2018
Data sources: zbMATH Open
https://dx.doi.org/10.1002/mma...
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Neimark‐Sacker bifurcation of a fourth order difference equation

Neimark-Sacker bifurcation of a fourth order difference equation
descriptionPublicationkeyboard_double_arrow_right Article 09 May 2018 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 41, pages 5,190-5,202 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: A. Shareef; M. Aloqeili;

doi: 10.1002/mma.5070

Neimark‐Sacker bifurcation of a fourth order difference equation

Abstract

In this article, we study stability and bifurcation of a fourth order rational difference equation. We give condition for local stability, and we show that the equation undergoes a Neimark‐Sacker bifurcation. Moreover, we consider the direction of the Neimark‐Sacker bifurcation. Finally, we numerically validate our analytical results.

Related Organizations
Keywords

Stability theory for difference equations, Neimark-Sacker bifurcation, rational difference equation, stability, Bifurcation theory for difference equations, equilibrium

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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