Beschreibung
InhaltsangabeBasics 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.- The Second Order Generating Function.- Asymptotic Estimations of the Integral K(h) and L(h) Near Separatrix.- Proof of Rescaling Invariance of the Equations of Motion.- Relation between v and O.- Asymptotic Estimation of the Integral Smm,(10.49).- Sample Program for Implementing a Mapping Procedure.- References.- Index.
