Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation
نویسندگان
چکیده
We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the form x(n+1) = x²(n-1)/(ax²(n) + bx(n)x(n-1) + cx²(n-1)), n = 0,1, 2,…, where the parameters a, b, and c are positive numbers and the initial conditions x₋₁ and x₀ are arbitrary nonnegative numbers. The unique feature of this equation is the coexistence of an equilibrium solution and the minimal period-two solution both of which are locally asymptotically stable.
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ورودعنوان ژورنال:
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013