Twist Mappings and Their Applications

A remark oil the topological entropy and invariant circles of an area preserving twistmap.- The concept of anti-integrability: Definition, theorems and applications to the standard map.- Hypersurfaces without selfintersections in the torus.- The rotation set as a dynamical invariant.- Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with nondegenerate Hessian.- Physical examples of linked twist maps with chaotic dynamics.- Ghost tori for monotone maps.- Poincaré's proof of Poincaré's last geometric theorem.- Dynamics connected with indefinite normal torsion.- Minimal orbits for small perturbations of completely integrable Hamiltonian systems.