000 | 03832nam a22005055i 4500 | ||
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001 | 978-3-540-33417-0 | ||
003 | DE-He213 | ||
005 | 20190213151918.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2006 gw | s |||| 0|eng d | ||
020 |
_a9783540334170 _9978-3-540-33417-0 |
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024 | 7 |
_a10.1007/b11554707 _2doi |
|
050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
|
072 | 7 |
_aSCI040000 _2bisacsh |
|
072 | 7 |
_aPHU _2thema |
|
082 | 0 | 4 |
_a530.1 _223 |
100 | 1 |
_aAbdullaev, Sadrilla S. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aConstruction of Mappings for Hamiltonian Systems and Their Applications _h[electronic resource] / _cby Sadrilla S. Abdullaev. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
|
300 |
_aXIV, 379 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v691 |
|
505 | 0 | _aBasics 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 | _aBased 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 | _aEngineering. | |
650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aAtoms and Molecules in Strong Fields, Laser Matter Interaction. _0http://scigraph.springernature.com/things/product-market-codes/P24025 |
650 | 2 | 4 |
_aPlasma Physics. _0http://scigraph.springernature.com/things/product-market-codes/P24040 |
650 | 2 | 4 |
_aClassical Electrodynamics. _0http://scigraph.springernature.com/things/product-market-codes/P21070 |
650 | 2 | 4 |
_aEngineering, general. _0http://scigraph.springernature.com/things/product-market-codes/T00004 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540818885 |
776 | 0 | 8 |
_iPrinted edition: _z9783642068126 |
776 | 0 | 8 |
_iPrinted edition: _z9783540309154 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v691 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b11554707 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
999 |
_c12307 _d12307 |