Neimark-Sacker Bifurcation of a Third Order Difference Equation

Year 2019, Volume: 2 Issue: 1, 40 - 49, 17.06.2019

Marwan Aloqeili Asmaa Shareef

https://doi.org/10.33401/fujma.527572

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

References

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