Rotation number and dynamics of 3-interval piecewise $\lambda$-affine contractions

P. Guiraud, M. Hernández, A. Meyroneinc +1

We consider a family of piecewise contractions admitting a rotation number and defined for every $x\in [0,1)$ by $f(x)=\lambda x+\delta +d{\theta }_a(x)(\mathrm{mod}1)$, where $\lambda \in (0,1)$, $d\in (0,1-\lambda )$, $…