Invariant graphs and dynamics of a family of continuous piecewise linear planar maps

Anna Cima, Armengol Gasull, Víctor Mañosa +1

We consider the family of piecewise linear maps $$F_{a,b}(x,y)=\left(|x|-y+a,x-|y|+b\right),$$ where $(a,b)\in {\mathbb{R}}^2$. This family belongs to a wider one that has d…