New Rotation Sets in a Family of Torus Homeomorphisms

Philip Boyland, André de Carvalho, Toby Hall

We construct a family $\{{\Phi }_t{\}}_{t\in [0,1]}$ of homeomorphisms of the two-torus isotopic to the identity, for which all of the rotation sets $\rho ({\Phi }_t)$ can be described explicitly. We…