LEADER 03609nam 2200613 450 001 9910144603103321 005 20210211234142.0 010 $a1-280-61832-9 010 $a9786610618323 010 $a3-540-33417-3 024 7 $a10.1007/b11554707 035 $a(CKB)1000000000232740 035 $a(DE-He213)978-3-540-33417-0 035 $a(SSID)ssj0000129359 035 $a(PQKBManifestationID)11152806 035 $a(PQKBTitleCode)TC0000129359 035 $a(PQKBWorkID)10078580 035 $a(PQKB)10508767 035 $a(MiAaPQ)EBC3036434 035 $a(MiAaPQ)EBC6350765 035 $z(PPN)258845597 035 $a(PPN)123129966 035 $a(EXLCZ)991000000000232740 100 $a20210211d2006 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aConstruction of mappings for Hamiltonian systems and their applications /$fSadrilla S. Abdullaev 205 $a1st ed. 2006. 210 1$aBerlin ;$aNew York :$cSpringer,$d[2006] 210 4$dİ2006 215 $a1 online resource (XIV, 379 p. 135 illus.) 225 1 $aLecture notes in physics ;$v691 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-30915-2 320 $aIncludes bibliographical references (pages [359]-378) and index. 327 $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. 330 $aBased on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magnetically confinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics, dynamical astronomy, and accelerator physics. It should also be useful for applied mathematicians involved in analytical and numerical studies of dynamical systems. 410 0$aLecture notes in physics ;$v691. 606 $aMappings (Mathematics) 606 $aHamiltonian systems 615 0$aMappings (Mathematics) 615 0$aHamiltonian systems. 676 $a514.74 700 $aAbdullaev$b S. S$g(Sadrilla S.),$f1951-$0500243 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144603103321 996 $aConstruction of mappings for hamiltonian systems and their applications$9744521 997 $aUNINA