@article{article_527572, title={Neimark-Sacker Bifurcation of a Third Order Difference Equation}, journal={Fundamental Journal of Mathematics and Applications}, volume={2}, pages={40–49}, year={2019}, DOI={10.33401/fujma.527572}, author={Aloqeili, Marwan and Shareef, Asmaa}, keywords={Difference equation,Stability,Equilibrium,Neimark-Sacker Bifurcation,Stability}, abstract={<p> <span style="font-size:14px;">In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value. Then, we consider the direction of the Neimark-Sacker bifurcation. Finally, we give some numerical simulations of our results. </span> <br /> </p>}, number={1}, publisher={Fuat USTA}