In this article, we investigate the dynamics of the solutions of the following non-linear difference equation xn+1 = xn-2xn-3 - 1; n ? ?0 with arbitrary initial conditions x-2; x-1; x0. Besides, we have studied peri- odic ...

In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of ...