SYMPLECTIC TWIST MAPS: GLOBAL VARIATIONAL TECHNIQUES

• Twist maps of the annulus; the Aubry-Mather theorem; ghost circles; symplectic twist maps; periodic orbits for symplectic twist maps of Tn x IRn; invariant manifolds; Hamiltonian systems vs. twist maps; periodic orbits for Hamiltonian systems; generalizations of the Aubry-Mather theorem; generating phases and symplectic topology.

"... this book constitutes a fundamental monograph on the subject and gives a beautiful treatment of many results in the area that previously have only been accessible in original research papers." Mathematical Reviews