Attractors in $k$-dimensional discrete systems of mixed monotonicity

Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel

We consider $k$-dimensional discrete-time systems of the form $x_{n+1}=F(x_n,\dots ,x_{n-k+1})$ in which the map $F$ is continuous and monotonic in each one of its arguments. We de…