Local stability implies global stability for the 2-dimensional Ricker map

Ferenc A. Bartha, Ábel Garab, Tibor Krisztin

Consider the difference equation $x_{k+1}=x_k{e}^{\alpha -x_{n-d}}$ where $\alpha$ is a positive parameter and d is a non-negative integer. The case d = 0 was introduced by W.E. Ricker in 1954…