Connected $\omega$-limit sets of Cournot maps: periodic orbits, realization and almost every point

Juan Luis García Guirao

Let $F(x,y)=(f_2(y),f_1(x))$ be a Cournot map of the unit square, $\phi =f_2\circ f_1$ and $\chi =f_1\circ f_2$. Linero Bas and Muñoz Guillermo proved that an $\omega$-limit set of $F$ with non…