Construction of Mappings for Hamiltonian Systems and Their Applications

• Main Author: Abdullaev, Sadrilla S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Physics, 691
• Subjects: Physics.; Optics.; Electrodynamics.; Atoms.; Matter.; Plasma (Ionized gases).; Engineering.; Theoretical, Mathematical and Computational Physics.; Atoms and Molecules in Strong Fields, Laser Matter Interaction.; Plasma Physics.; Optics and Electrodynamics.; Engineering, general.

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Ha...

Table of Contents:

• 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.