On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus
On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus
We prove that for a large and important class of C1 twist maps of the torus periodic and quasi-periodic orbits of a new type exist, provided that there are no rotational invariant circles (RICs). These orbits have a non-zero `vertical rotation number' (VRN), in contrast to what happens to Birkhoff …