Neimark-Sacker Bifurcation of a Third Order Difference Equation

Authors : Marwan Aloqeili, Asmaa Shareef

Pages : 40-49

Doi:10.33401/fujma.527572

View : 15 | Download : 9

Publication Date : 2019-06-17

Article Type : Research

Abstract :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.
Keywords : Difference equation, Stability, Equilibrium, Neimark-Sacker Bifurcation, Stability