摘要：We consider the second-order rational difference equation$$ {x_{n+1}=\gamma +\delta \frac{x_{n}}{x^,_{n-1}}}, $$ where γ, δ are positive real numbers and the initial conditions $x_{-1}$ and $x_($ are positive real numbers. Boundedness along with global attractivity and Neimark–Sacker bifurcation results are established. Furthermore, we give an asymptotic approximation of the invariant curve near the equilibrium point.
关键词：Difference equation ; Birkhoff normal form ; Boundedness ; Invariant set ; Neimark–Sacker bifurcation ; Stability ;
