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Construction of mappings for Hamiltonian systems and their applications

Author: S S Abdullaev
Publisher: Berlin ; New York : Springer, ©2006.
Series: Lecture notes in physics, 691.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Abdullaev, S.S. (Sadrilla S.), 1951-
Construction of mappings for Hamiltonian systems and their applications.
Berlin ; New York : Springer, ©2006
(DLC) 2005937897
(OCoLC)64626362
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: S S Abdullaev
ISBN: 9783540334170 3540334173 9783540309154 3540309152 1280618329 9781280618321
OCLC Number: 262692191
Description: 1 online resource (xiv, 378 pages) : illustrations (some color).
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.
Series Title: Lecture notes in physics, 691.
Responsibility: Sadrilla S. Abdullaev.
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Abstract:

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  Read more...

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From the reviews:"The aim of this book is to introduce the reader into the modern theory of Hamiltonian mappings. The book starts by describing the classical methods and theorems such as Jacobi's Read more...

 
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