Neimark-Sacker Bifurcation of a Third Order Difference Equation

Yıl 2019, Cilt: 2 Sayı: 1, 40 - 49, 17.06.2019

Marwan Aloqeili Asmaa Shareef

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

Öz

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.

Anahtar Kelimeler

Difference equation, Stability, Equilibrium, Neimark-Sacker Bifurcation, Stability

Kaynakça

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• [5] Y. Kuznetsov, Elements of Applied Bifurcation Theory, 2nd edition, Springer, New York, 2003.