Construction of mappings for Hamiltonian systems and their applications

Basics of Hamiltonian Mechanics.- Perturbation Theory for Nearly Integrable Systems.- Mappings for Perturbed Systems.- Method of Canonical Transformation for Constructing Mappings.- Mappings Near Separatrix. Theory.- Mappings Near Separatrix. Examples.- The KAM Theory Chaos Nontwist and Nonsmooth Maps.- Rescaling Invariance of Hamiltonian Systems Near Saddle Points.- Chaotic Transport in Stochastic Layers.- Magnetic Field Lines in Fusion Plasmas.- Mapping of Field Lines in Ergodic Divertor Tokamaks.- Mappings of Magnetic Field Lines in Poloidal Divertor Tokamaks.- Miscellaneous.