√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Lichtenberg A.J., Liebermen M.A. Ч Regular and Chaotic Dynamics
Lichtenberg A.J., Liebermen M.A. Ч Regular and Chaotic Dynamics

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Regular and Chaotic Dynamics

јвторы: Lichtenberg A.J., Liebermen M.A.

јннотаци€:

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The book is intended as a self consistent treatment of the subject at the graduate level and as a reference for scientists already working in the field. It emphasizes both methods of calculation and results. It is accessible to physicists and engineers without training in modern mathematics. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects. It can be used as a graduate text for a two semester course covering both Hamiltonian and dissipative dynamics.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: second edition

√од издани€: 1992

 оличество страниц: 692

ƒобавлена в каталог: 18.08.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
Euler equations      214Ч215
Expansions      see also УPerturbation theoryФ
Expansions, asymptotic      75 93Ч95
Expansions, eliminate secularity      74Ч75
Expansions, power series      73ff
Expansions, superconvergent      149ff
Extrinsic diffusion      349ff 360ff 373 406ff see
Extrinsic diffusion, from a simple calculation      354Ч357
Extrinsic diffusion, in Fermi acceleration      351Ч352
Extrinsic diffusion, in the presence of resonances      353ff
Extrinsic diffusion, limit to global stochasticity determination      351
Extrinsic diffusion, using Fourier paths      353Ч354
Farmer, J.D.      68 478 (478 Packard 528 531 602 603 605 607 610 611 615 618
Feigenbaum, M.J.      6 458 485 487 491 492 494 507 531
Feit, S.D.      473
Fenstermacher, R.      635
Fermi acceleration      57Ч59 216ff
Fermi acceleration, absolute barrier      225
Fermi acceleration, bifurcation phenomena      226ff
Fermi acceleration, comparison with overlap criterion      264
Fermi acceleration, conversion to standard mapping      250Ч251
Fermi acceleration, dissipative mapping      574
Fermi acceleration, exact mapping      216Ч217
Fermi acceleration, fixed points      223
Fermi acceleration, Fokker Ч Planck solutions for      326ff
Fermi acceleration, Hamiltonian formulation      229ff
Fermi acceleration, invariant distribution for dissipative      583Ч588
Fermi acceleration, linear stability      223Ч225
Fermi acceleration, models for      216ff
Fermi acceleration, numerical results      220ff
Fermi acceleration, sawtooth wall velocity      221Ч222
Fermi acceleration, simplified mapping      217Ч218
Fermi acceleration, stochastic transition velocity      224Ч225
Fermi acceleration, transient chaos in      574Ч576
Fermi acceleration, transport coefficients for      324Ч326
Fermi acceleration, two-frequency      292 440
Fermi Ч Pasta Ч Ulam system      443ff
Fermi, E.      2 57 191 216 439 443
Fibonacci numbers      530
Field, R.J.      652
Filamentation      see УCoarse-grainingФ
Filonenko, N.N.      423 425
Finn, J.M.      45 48 134 168 186 187 210 213 423
Fixed points      49
Fixed points, bifurcations for Fermi mapping      226Ч229
Fixed points, elliptic      42 183Ч185 205Ч206
Fixed points, expanding about      113 119
Fixed points, for Fermi mapping      223Ч225
Fixed points, for quadratic DeVogelaere map      518
Fixed points, for quadratic map      482ff
Fixed points, for separatrix mapping      236Ч237
Fixed points, for standard mapping      253Ч256
Fixed points, for two-dimensional mappings      200Ч201
Fixed points, hyperbolic      184 185Ч187 206Ч207 560ff
Fixed points, linearizing about elliptic      114
Fixed points, of twist mapping      166
Fixed points, reflection and ordinary hyperbolic      206Ч207
Fluids, chaotic behavior in      628ff 638ff
Foias, C.      634
Fokker Ч Planck equation      32ff
Fokker Ч Planck equation, canonical variables      325Ч326
Fokker Ч Planck equation, diffusion and friction coefficients      322
Fokker Ч Planck equation, for invariant distributions on strange attractors      583Ч585
Fokker Ч Planck equation, for transient chaos      572Ч576
Fokker Ч Planck equation, steady-state solutions      326Ч327 337
Fokker Ч Planck equation, transient solutions      326Ч327
Fokker Ч Planck equation, transport coefficients      324ff
Fokker Ч Planck equation, validity of      323Ч324
Foote, J.H.      (94 648 Cohen
Ford, J.      38 (62 Chirikov 128 179 216 275 281 293 298 303 (312 Casati 315 (398 Chirikov 441 443 444 (644 Casati 645 654
Forecasting      see УReconstructionФ
Forest, E.      173
Fourier mode expansions for fluid systems      630ff
Fourier path technique      329ff 353Ч357
Fourier spectra      see also УPower spectra of trajectoriesФ
Fractal diagrams      275 279Ч281
Fractal dimension      474Ч478
Fractal dimension, capacity      577 588
Fractal dimension, correlation dimension      589 591
Fractal dimension, embedding      591 598ff
Fractal dimension, for period-doubling      595
Fractal dimension, for quasiperiodicity      596
Fractal dimension, for two-scale Cantor set      593Ч594
Fractal dimension, generalized      588ff
Fractal dimension, Hausdorff      551 590
Fractal dimension, information dimension      576Ч578
Fractal dimension, multifractals      588ff
Fractal dimension, reconstruction from time series      602ff
Fractal dimension, relation to Liapunov exponents      474Ч478 591 602
Fractal dimension, scaling index spectrum      588 592ff
Fractal generator      591
Fractal, fat      528
Fraser, A.M.      599 600 601 602 604
Frederickson, P.      602
Freis, R.P.      419 421 423 424
Friction coefficient      322
Friction coefficient, relation to diffusion coefficient      322
Frisch, U.      630
Froehling, H.      (68 Farmer) 478
Froeschle, C      298 315 373 380 381 440
Fukuyama, A.      87 126 248 270 271
Gadiyak, G.M.      374
Galeev, A. A.      428 435
Galerkin approximation      see УFourier mode expansionsФ
Galgani, L.      (213 245 298 Benettin 298 299 (301 305 315 316 317 318 319 Benettin (326 Contopoulos (438 441 445 Benettin
Garren, A.      649
Garrido, L.M.      134 645
Geisel, T.      497 643
Gell, Y.      429 (429 433 434 435 Nevins
Generating function      173
Generating function, Fourier series for      80
Generating function, harmonic oscillator      23
Generating function, Lie      12 135
Generating function, mixed variable      8Ч9 21
Generating function, near-identity      97
Generating function, relation to phase space area      171
Generating function, rotating coordinates      110
Generating function, use in perturbation theory      79
Giacaglia, G.E.O.      81 93 134 141
Gibson, G.      649
Giglio, G.      637
Giorgilli, A.      (301 305 Benettin (326 Contopoulos (438 445 Benettin
Glass, L.      532 598
Glazier, J.A.      594 595
Goedde, C.G.      491 585
Golden mean      249 274 277 288 291
Goldstein, H.      7 36 47
Gollub, J.P.      635 636 637
Gorman, M.      635
Gormezano, C      651
Goward, F.K.      647
Gramaticos, B.      43
Grassberger, P.      478 576 577 578 589 590 591 592 603 604 606
Grawe, H.      650
Graziani, K.R.      (652 Schmits
Grebogi, C      549 550Ч560 571 576 579 580 590 591 597
Green, G.K.      647
Greene's method      248Ч249 271ff 291
Greene's method, continued fraction approximates      273Ч276
Greene's method, golden mean      274 277
Greene's method, mean residue      271Ч273 276Ч277
Greene's method, numerical procedure      276
Greene's method, numerical results      276Ч278
Greene, J.      4 169 182 200 202 248 254 257 271 273 275 276 278 311 341 514 517 518 519
Greenspan, B.      561
Grossmann, S.      504 506
Guarneri, I.      (653 Casati
Guckenheimer, J.      468
Guest, G.      (650 Samec
Guiding center, Hamiltonian      102
Guiding center, variables      87Ч88
Gustavson, F.      54 56 645
Gwinn, E.G.      594
Gyorgyi, G.      523 524 525
Haas, F.A.      (99 Hastie
Hall, L.      41 43
Halsey, T.C.      478 589 590 592 593 594
Hamilton Ч Jacobi equation      10 21
Hamilton Ч Jacobi equation, for central force      35
Hamilton's characteristic function      10
Hamilton's equations      8
Hamilton's principal function      10
Hamiltonian, accidentally degenerate      see УDegeneracy accidentalФ
Hamiltonian, action-angle form      78
Hamiltonian, autonomous      10 11 14Ч15 288
Hamiltonian, average part      80 98
Hamiltonian, canonical transformation of      9 79
Hamiltonian, conversion to a mapping      170Ч171
Hamiltonian, definition of      8
Hamiltonian, for free particle      375Ч378
Hamiltonian, for harmonic oscillator      23 116
Hamiltonian, for two resonances      281Ч282
Hamiltonian, formulation for Fermi mapping      229ff
Hamiltonian, formulation for standard mapping      256Ч258
Hamiltonian, Fourier series for      80 111Ч112
Hamiltonian, higher order expansion      81
Hamiltonian, intrinsically degenerate      see УDegeneracy intrinsicФ
Hamiltonian, nonautonomous      14Ч15
Hamiltonian, oscillating part      80 98
Hamiltonian, standard      29 113
Hamiltonian, superconvergent transformation of      152Ч154
Hammel, S.M.      610 612
Hamzeh, F.M.      (419 421 424 Freis
Hanson, J.D.      43 425 (476 477 Russell (654 Ott
Hard sphere gas      60 304 442 654
harmonic oscillator      23Ч24
Harmonic oscillator, adiabatic invariant of      100
Harmonic oscillator, effect of resonance      77
Harmonic oscillator, Hamiltonian      23 116
Harmonic oscillator, with slowly varying frequency      75Ч77 100Ч102 106Ч109
Hart, M.      429 (652 Hudson
Harte, J.      (429 Gell (429 433 434 439 Nevins
Hartman, C.W.      (419 421 423 Freis
Hasegawa, A.      240
Hastie, R.J.      99 648
Hatori, T.      348 651
Hausdorff      590
Hausdorff dimension      551 590 see УHausdorffФ
Hauss, B.L.      (650 Samec
Heating, stochastic      650Ч651 see
Heating, stochastic, at electron cyclotron resonance      650Ч651
Heating, stochastic, at ion cyclotron resonance      650Ч651
Heating, stochastic, with two frequencies      650Ч651
Heiles, C      9 38 52 294 298 645
Heinrichs, R.      640 641
Helleman, R.H.G.      66 (152 154 Eminhizer 154 157 158 160 (195 201 Eminhizer 201 273 293 458 485 490 504 509 513 515 516 633 654
Henon attractor      472Ч474
Henon attractor, fractal dimension of      477
Henon attractor, invariant distribution for      581Ч582
Henon attractor, map in quadratic form      510
Henon attractor, noise reduction for      611Ч613
Henon attractor, reconstruction of      609
Henon Ч Heiles system      52Ч57 645
Henon Ч Heiles system, high-order fixed-point destabilization in      281
Henon Ч Heiles system, integrability conditions for      42Ч43
Henon Ч Heiles system, KS entropy for      316Ч318
Henon Ч Heiles system, periodic orbits in      158Ч161
Henon Ч Heiles system, quantized      654
Henon Ч Heiles system, relation to Toda lattice      38
Henon, M.      4 39 52 191 192 294 298 468 472 473 645
Hentschel, H.G.E.      589
Hereward, H.G.      647
Herman, M.R.      289
Herrera, J.C.      648
Hertweck, F.      94 648
Heteroclinic points      186Ч187
Hicks, H.R.      (436 437 Carreras
Hietarinta, J.      43
Hiibler, A.      608 610
Hine, M.G.N.      647
Hirakawa, K.      (653 Yamazaki
Hiroe, S.      (651 Watari
Hirsch, J.E.      540 543 545
Hizanidis, K.      364
Hobbs, G.D.      (648 Hastie
Hohs, S.      219
Holm, D.      48 213
Holmes, P.J.      48 380 458 468 561 565 567 569
Holt, C.R.      41
Homoclinic intersection      560ff
Homoclinic intersection, in Duffings equation      565Ч567
Homoclinic intersection, in mappings      568Ч569
Homoclinic points      186Ч187 309 604
Hori, G.      134 645
Howard, J.E.      94 209 210 211 219 292 440 648
Howard, L.N.      652
Howland, R.A.      134 151
Hu, B.      538 543
Huberman, B.A.      498 506 507 557 637
Hudson, J.L.      (652 Schmits 652
Hyperbolic orbits, for two-dimensional mappings      206Ч207
Hyperbolic point      see УFixed point hyperbolicФ
Ichikawa, Y.H.      348 349
Ichimaru, S.      (651 Watari
indstedt, M.      71 74
Information dimension      576Ч578
Integrable systems      24ff
Integrable systems, central force      33Ч36
Integrable systems, finding      39Ч43
Integrable systems, harmonic oscillator      23Ч24
Integrable systems, linear      29Ч32
Integrable systems, Painleve property      43
Integrable systems, pendulum      25Ч29
Integrable systems, soliton solutions      43 376
Integrable systems, Toda lattice      36Ч39
Integrable systems, Whittaker method      39
Integral, isolating      24 33 381 648
Integral, isolating, for Toda lattice      39
Integration, symplectic      172
Intermittency      537ff
Intermittency, in lattice maps      617Ч619
Intrinsic degeneracy      see УDegeneracy intrinsicФ
Intrinsic diffusion      see УDiffusionФ
Invariant distribution      498ff 580ff
Invariant distribution, by reduction to a one-dimensional map      581ff
Invariant distribution, calculation of      580ff
Invariant distribution, for a Hamiltonian system      580
Invariant distribution, for dissipative Fermi map      583Ч588
Invariant distribution, for Henon attractor      581Ч582
Invariant distribution, for logistic map      500Ч501
Invariant distribution, for tent map      502
Invariant distribution, for two-dimensional maps      580ff
Invariant distribution, from the Fokker Ч Planck, equation      583ff
Invariant distribution, phase averaged      583Ч585
Invariant measure      see УInvariant distributionФ
Invariant, adiabatic      17 24 71 93ff
Invariant, circle      290
Invariant, curve      see УKAM curveФ
Invariant, exponential variation of      94
Invariant, for secondary resonances      120
Invariant, for wave-particle interaction      90
Invariant, global      24
Invariant, hierarchy of      99Ч100
Invariant, in rotating coordinates      111
Invariant, integral      13Ч14
Invariant, relative integral      15
Invertible maps      459
Invertible maps, chaotic behavior in      460 509
Invertible maps, one-dimensional      478 497
Involution, integrals in      24
1 2 3 4 5
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2019
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте