Dynamics of a Nonlinear Difference Equation 2
نویسندگان
چکیده
In this paper the dynamics for a third-order rational difference equation is considered. The rule for the trajectory structure of solutions of this equation is clearly described out. The successive lengths of positive and negative semicycles of nontrivial solutions of this equation are found to occur periodically with prime period 7. And the rule is 3, 2−, 1, 1− in a period. By utilizing the rule, the positive equilibrium point of the equation is verified to be globally asymptotically stable.
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