Neimark-Sacker Bifurcation of a Third Order Difference Equation

ISSN: 2645-8845
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2018
Yayıncı: Fuat USTA

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,

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