ENGLISH

Construction of Mappings for Hamiltonian Systems and Their Applications

By Sadrilla S. Abdullaev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2006
ISBN
9783540309154, 9783540334170, 3540309152
DOI
10.1007/b11554707
ISSN
0075-8450
Open Library ID
OL12773877M
Language
english
Format
DJVU
Filesize
2 MB (2600679 bytes)
Series
Lecture notes in physics 691
Edition
1
Pages
379\383
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Mathematical and Computational Physics;Atoms and MPlasma Physics;Classical ElectrodynamicsWave Phenomena;Physics and Applied Physics in Engi

Description

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 Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magnetically confinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics, dynamical astronomy, and accelerator physics. It should also be useful for applied mathematicians involved in analytical and numerical studies of dynamical systems.

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