LEADER 04461nam 22006615 450 001 9910822029903321 005 20240516013455.0 010 $a1-4757-2184-6 024 7 $a10.1007/978-1-4757-2184-3 035 $a(CKB)2660000000022213 035 $a(SSID)ssj0001298286 035 $a(PQKBManifestationID)11717192 035 $a(PQKBTitleCode)TC0001298286 035 $a(PQKBWorkID)11248820 035 $a(PQKB)11590964 035 $a(DE-He213)978-1-4757-2184-3 035 $a(MiAaPQ)EBC3085172 035 $a(PPN)238013073 035 $a(EXLCZ)992660000000022213 100 $a20130220d1992 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRegular and Chaotic Dynamics /$fby A.J. Lichtenberg, M.A. Lieberman 205 $a2nd ed. 1992. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1992. 215 $a1 online resource (XXII, 692 p.) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v38 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-97745-7 311 $a1-4419-3100-7 320 $aIncludes bibliographical references and index 327 $a1 Overview and Basic Concepts -- 2 Canonical Perturbation Theory -- 3 Mappings and Linear Stability -- 4 Transition to Global Stochasticity -- 5 Stochastic Motion and Diffusion -- 6 Three or More Degrees of Freedom -- 7 Bifurcation Phenomena and Transition to Chaos in Dissipative Systems -- 8 Chaotic Motion in Dissipative Systems -- Appendix A -- Applications -- A.1. Planetary Motion -- A.2. Accelerators and Beams -- A.3. Charged Particle Confinement -- A.4. Charged Particle Heating -- A.5. Chemical Dynamics -- A.6. Quantum Systems -- Author Index. 330 $aWhat's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati­ cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject. 410 0$aApplied Mathematical Sciences,$x0066-5452 ;$v38 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematical physics 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aMathematical physics. 615 14$aAnalysis. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a515 676 $a515.392 700 $aLichtenberg$b Allan J$4aut$4http://id.loc.gov/vocabulary/relators/aut$027130 702 $aLieberman$b M. A$g(Michael A.)$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822029903321 996 $aRegular and Chaotic Dynamics$9375146 997 $aUNINA