We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the form x n+1 = x n−1 2/(ax n 2 + bx n x n−1 + cx n−1 2), n = 0,1, 2,…, where the parameters a, b, and c are positive numbers and the initial conditions x −1 and x 0 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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机译：我们研究了x n + 1 = xn−1 2 /（ax n 2 形式的差分方程的平衡点和最小二阶解的吸引盆+ bx nxn-1 + cx n-1 2 ），n = 0,1，2，…，其中参数a，b和c是正数，初始条件 x −1和 x 0是任意的非负数。该方程式的独特之处在于均衡解和最小周期二解的共存，二者在局部上都是渐近稳定的。
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