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Title: Dynamics and Bifurcation of a Second Order Quadratic Rational Difference Equation
Authors: Saleh, Mohammad 
Hirzallah, Shahd 
Keywords: Fixed point;NeimarkSacker bifurcation;Stability
Issue Date: Dec-2020
Publisher: Journal of Mathematical Sciences and Modelling
Abstract: In this paper, we study the dynamics and bifurcation of xn+1 = α +βx 2 n−1 A+Bxn +Cx2 n−1 , n = 0, 1, 2, ... with positive parameters α, β, A, B, C, and non-negative initial conditions. Among others, we investigate local stability, invariant intervals, boundedness of the solutions, periodic solutions of prime period two and global stability of the positive fixed points.
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