ASYMPTOTIC BEHAVIOR AND PERIODIC NATURE OF TWO DIFFERENCE EQUATIONS

We discuss the global asymptotic stability of the solutions of the difference equations x(n + 1) = x(n - 2)/+/- 1 + x(n)x(n - 1)x(n - 2), n = 0, 1, ... , where the initial conditions x(-2), x(-1), x(0) are real numbers.