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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.
Presentation and comparison of the different approaches to the theory of monotone twist diffeomorphisms of the annulus Generating phases of the diffeomorphisms of the torus and the annulus Index Bibliography.