Construction of Mappings for Hamiltonian Systems and Their Applications (Record no. 31389)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03498nam a22005175i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540334170 |
| -- | 978-3-540-33417-0 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.1 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Abdullaev, Sadrilla S. |
| 245 10 - TITLE STATEMENT | |
| Title | Construction of Mappings for Hamiltonian Systems and Their Applications |
| Statement of responsibility, etc | by Sadrilla S. Abdullaev. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg, |
| Year of publication | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 379 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Physics, |
| 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 | Physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Plasma (Ionized gases). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Electrodynamics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical and Computational Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Atoms and Molecules in Strong Fields, Plasma Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Classical Electrodynamics, Wave Phenomena. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics and Applied Physics in Engineering. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/b11554707 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2006. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8450 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK2095 | http://dx.doi.org/10.1007/b11554707 | E-BOOKS |