On the accumulation points of non-periodic orbits of a difference equation of fourth order

Antonio Linero Bas, Víctor Mañosa, Daniel Nieves Roldán

In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation $x_{n+4}=\max \{x_{n+3},x_{n+2},x_{n+1},0\}-x_n$, with arbitrary real initial co…