000 03832nam a22005055i 4500
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
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
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