Entropy and ω-limit sets on invariant graphs for a class of planar piecewise linear maps

Anna Cima, Armengol Gasull, Víctor Mañosa +1

We consider the family of piecewise linear maps $F(x,y)=\left(|x|-y+a,x-|y|+b\right),$ where $(a,b)\in {\mathbb{R}}^2$. In previous work, we identified that certain maps of…