Dynamical Properties of Diffeomorphisms of the Annulus and of the Torus

Bok av Patrice Le Calvez
The first chapter offers a survey of the theory of monotone twist maps of the annulus. The second chapter generalizes aspects of Aubry-Mather theory to such maps and presents a version of the Poincare-Birkhoff theorem in which the periodic orbits have the same braid type as in the linear case.