15
2014.
Global dynamics of quadratic second order difference equation in the first quadrant
We investigate the global behavior of a quadratic second order difference equation x n + 1 = Ax n 2 + Bx n x n - 1 + Cx n - 1 2 + Dx n + Ex n - 1 + F , n = 0 , 1 , ? with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points.