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Naimark-Sacker bifurcation of second order rational difference equation with quadratic terms

Naimark-Sacker bifurcation of second order rational difference equation with quadratic terms

We investigate the global asymptotic stability and Naimark-Sacker bifurcation of the difference equationwith non-negative parameters and nonnegative initial conditions x -1 , x 0 such that bx 0 x -1 + cx 2 -1 + f > 0. By using fixed point theorem for monotone maps we find the region …