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Title: Neimark-Sacker Bifurcation of a Fourth Order Difference Equation
Authors: Shareef, Asmaa
Aloqeili, Marwan
Keywords: Equilibrium
Neimark-Sacker bifurcation
Rational difference equation
Issue Date: 2018
Publisher: Wiley & Sons
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.
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