Construction of Mappings for Hamiltonian Systems and Their Applications (Record no. 12307)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03832nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-540-33417-0 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190213151918.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2006 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540334170 |
| -- | 978-3-540-33417-0 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/b11554707 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC19.2-20.85 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.1 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Abdullaev, Sadrilla S. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Construction of Mappings for Hamiltonian Systems and Their Applications |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Sadrilla S. Abdullaev. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIV, 379 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Physics, |
| International Standard Serial Number | 0075-8450 ; |
| Volume number/sequential designation | 691 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Theoretical, Mathematical and Computational Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Atoms and Molecules in Strong Fields, Laser Matter Interaction. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P24025 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Plasma Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P24040 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Classical Electrodynamics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P21070 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering, general. |
| -- | http://scigraph.springernature.com/things/product-market-codes/T00004 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783540818885 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642068126 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783540309154 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Lecture Notes in Physics, |
| -- | 0075-8450 ; |
| Volume number/sequential designation | 691 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/b11554707 |
| 912 ## - | |
| -- | ZDB-2-PHA |
| 912 ## - | |
| -- | ZDB-2-LNP |
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