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| Авторизация |
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| Enns R.H., Mc Guire G.C. — Nonlinear physics with mathematica for scientists and engineers |
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| Предметный указатель |
Inverse problem 494 500 505
Inverse scattering method 433 491
Inverse scattering method, adjoint relations 495
Inverse scattering method, direct problem 494
Inverse scattering method, eigenvalue problem 493
Inverse scattering method, general input shape 503
Inverse scattering method, identity operator 497
Inverse scattering method, inverse problem 494 500
Inverse scattering method, Lax formulation 492
Inverse scattering method, scattering data, time evolution 494
Inverse scattering method, time evolution operator 497
Inverse scattering method, unitary operator 498
Inverse scattering method, Z-S/AKNS approach 505
Inverted pendulum 563
Invertible map, Henon 383
Iron core inductor 69
Island map 398
Isoclines, method of 157
Iteration 296 302 486
Jackson, E. A. 389
Jackson, H. C 60
Jacobian matrix 135 397
Jensen, M. H. 378
Jones, Billy 63
Josephson junction 106
Julia set 394
Julia, Gaston 394
Jump phenomena 305 307
Jung, Carl 355
Jupiter, great red spot 110
Kam theorem 352
KAM torus 349
Kaplan, D. 92
Kaup, David 448 493 505
Keats, John 451
Kernel, degenerate 501
Kernel, G-L 505
Kernel, integral equation 500
Kerr nonlinearity 108
Kink solitons 103
Kink-antikink 106
Kink-kink 106
Kirchhoff’s law 571
Kirchhoff’s rules 33 68
Kislukha, N. I. 111
Klein bottle condom 638
Koch curve 88
Koros, E. 76
Korteweg, D.J. 99
Kot, M. 387
Krogdahl, W. S. 273
Kruskal, Martin 100 470 491
Krylov — Bogoliubov method 210
Lagrangian 342
Lagrangian, inverted pendulum 565
Lagrangian, rotating pendulum 44
Lagrangian, simple pendulum 40
Langer, J. S. 85
Lapidus, L. 238
Laplace transform 418
Larsen, E. W. 424
Laser beam competition 176
Lauwerier, H. A. 121
Lax formulation 492
Lax, Peter 491
Lefever, R. 285
Legendre transformation 342
Leibovich, S. 100
Lennard — Jones potential 192
Lenz’s law 612
Leo Esaki 557
Libchaber, A. 370
Light bullets 109 488
Light bullets, coalescence 110
Light bullets, repulsion 110
Limit cycle, 3-d 79
Limit cycle, Brusselator 288
Limit cycle, glycolytic oscillator 289
Limit cycle, heart 69
Limit cycle, Lorenz 291
Limit cycle, multiple 271
Limit cycle, nested 271
Limit cycle, nonexistence of 278
Limit cycle, Oregonator 76
Limit cycle, semistable 265 270
Limit cycle, stable 265 270 282 285 579
Limit cycle, trajectory sink 270
Limit cycle, unstable 265 271 280
Limit cycle, Van der Pol 69 74 159 207 270 273
Lindstedt method 203
Linear diffusion 418
Linear pursuit 173
Linear response curves 297
Linearization 4
Logistic map 119 356 369 375 389
Logistic map, bifurcation diagram 368
Lorentz transformation 107
Lorentzian line shape 317
Lorenz attractor 332 372
Lorenz map 371
Lorenz model 90
Lorenz system, butterfly wings 115 340
Lorenz, Edward 90
Lorenz, weather forecasting 334
Low pass filter 318
Lozi map 398
LRC circuit 547
Lyapunov, dimension 332
Lyapunov, exponent 332 372
Lyapunov, theorem 136
Machine precision 244
Magnetic field reversal 163
Magnetic force 518
magnetic moment 620 646
Magnetic potential 627
Magnetic spin 103
Magnetic tower 522
Maitra, S. C 57
Mandelbrot map 123 389 392
Mandelbrot set 123 394
Mandelbrot, Benoit 83 123 389
MANIAC I 51
Map, 1-d 119
Map, 2-d 119 389 396
Map, 3rd-iterate 363
Map, chaos 111 358 362 377 386
Map, circle 378
Map, conservative 396
Map, cubic 363
Map, fourth-iterate 366
Map, Henon 376 399
Map, Henon, quadratic 397
Map, island 398
Map, kth-iterate 363
Map, logistic 119 124 356 368 369 375
Map, logistic, delayed 389 391
Map, Lorenz 371
Map, Lozi 398
Map, Mandelbrot 123 389 392
Map, noise vs chaos 383
Map, non-invertible 383
Map, nonconservative 396
Map, predator-prey 121 393
Map, second iterate 360
Map, sine 369 375
Map, standard 123 389 397
Map, tent 369 375
Map, unimodal 367 371 387
Martienssen 307
Mathematica 90
| Mathematica Command, # 312 374 381
Mathematica Command, $DisplayFunction=Identity 176 182 200 209 215 219 242 248 325 359 361 379 414 459 467 482 528
Mathematica Command, $RecursionLimit=Infinity 472
Mathematica Command,  312
Mathematica Command,  168 187
Mathematica Command,  8
Mathematica Command, % 10 11 193
Mathematica Command, /. 12 43 49 68 70 203 226
Mathematica Command, // 197
Mathematica Command, //. 135
Mathematica Command, //N 11
Mathematica Command, ; 8
Mathematica Command, << Calculus ‘DSolvelntegrals’ 414
Mathematica Command, << Calculus ‘VariationalMethods’ 41
Mathematica Command, << Calculus ‘Vector Analysis’ 344
Mathematica Command, <<Calculus 418 420
Mathematica Command, <<Graphics 20 101 140 228 254 261 267 270 271 275 288 298 300 416 438 460
Mathematica Command, <<Graphics ‘Graphics3D’ 402
Mathematica Command, <<LinearAlgebra 93
Mathematica Command, ?PolyLog 10
Mathematica Command, Abs 123 184 248 300 320 374 394 496 531 578
Mathematica Command, AbsolutePointSize 368 371
Mathematica Command, AccuracyGoal 263
Mathematica Command, Animate 20 101 104 438 442
Mathematica Command, Apply 374
Mathematica Command, ArcTan 104 442 485
Mathematica Command, AspectRatio 85 112 121 143 148 215 228 233 298 329 359 361 371 379 386 399 408 416
Mathematica Command, Automatic 551
Mathematica Command, Axes -> False 85 329 408
Mathematica Command, AxesEdge 61 68 79 116 160 228 261 387 402
Mathematica Command, AxesLabel 24 49 56 61 68 79 116 128 143 160 176 200 209 254 261 320 347 361 368 371 386 459 460 462 467 469 472 482 519 527 531 536 539 551 559 568 590 635
Mathematica Command, AxesOrigin 368 374 381
Mathematica Command, AxesStyle 79 608
Mathematica Command, Background 116 143 160 176 270 271 288
Mathematica Command, Blank(_) 462
Mathematica Command, Block 49 56 160 176 182 184 200 209 215 219 242 248 325 359 361 379 414 459 467 482 487 528 531
Mathematica Command, Boxed->False 79 228 261 387
Mathematica Command, BoxRatios 24 56 61 68 79 228 261 344 347 387 394 402 628
Mathematica Command, BoxStyle 61 68 116
Mathematica Command, Cartesian 344
Mathematica Command, Cases 371
Mathematica Command, Chop 43 168 442 472 607 635
Mathematica Command, Clear 11 24
Mathematica Command, Clear [“Global,  ”] 11 18
Mathematica Command, Coefficient 203 209 329 519
Mathematica Command, CoefficientList 197 200 203 209 507
Mathematica Command, Collect 11 41 70 161 197 200 203 209 219 442 559
Mathematica Command, ColorFunction 123 312 344
Mathematica Command, ColorFunction->Hue 394
Mathematica Command, Compile 368 374 381
Mathematica Command, Compiled->False 144 270 271 273 288
Mathematica Command, CompleteIntegral 414
Mathematica Command, ContourPlot 300 344 416
Mathematica Command, Contours 300 344 416
Mathematica Command, ContourShading->False 300 416
Mathematica Command, Cos 11 12 41 49 182 203 209 215 267 320 326 408 487 628
Mathematica Command, Cosh 15 101 441 442
Mathematica Command, D 8 24 41 49 70 96 104 143 161 187 193 219 267 347 414 418 420 426 438 441 442 472 485 507 539 546 559 590
Mathematica Command, Dashing 56 275 361
Mathematica Command, DensityPlot 123 394
Mathematica Command, Det 161
Mathematica Command, Dimensions 371 386
Mathematica Command, DiracDelta 420
Mathematica Command, Disk 408
Mathematica Command, DisplayFunction 49 56
Mathematica Command, DisplayFunction->$Identity 329
Mathematica Command, DisplayFunction->Identity 15 140 148 187 270 271 275 300 329 347 408 416 420 519
Mathematica Command, DisplayFunction—>$DisplayFunction 15 187 270 271 275 300 347 408 416 420
Mathematica Command, Do 93 118 184 261 300 416 420 459 460 462 467 469 472 482 485 487 507 628
Mathematica Command, Dot(.) 459 469
Mathematica Command, DotProduct 523
Mathematica Command, Drop 359 361 368 379 381
Mathematica Command, DSolve 43 49 96 98 130 168 176 178 200 203 209 215 242 254 267 414 418 420 438 442 460 496
Mathematica Command, E 8
Mathematica Command, Eigenvalues 135 161
Mathematica Command, EllipticF 181 184
Mathematica Command, EllipticK 181 182 184 527
Mathematica Command, Epilog 56 61 68 79 118 128 140 143 144 148 168 187 200 273 275 325 329 344 359 361 399 408 416 528 531 551
Mathematica Command, EulerEquations 41
Mathematica Command, Evaluate 18 24 49 56 61 68 79 112 116 118 128 144 160 176 184 187 215 256 270 271 273 275 288 300 320 325 326 347 371 387 414 418 420 460 527 546 551 559 568 578 590 608 628
Mathematica Command, Exp 11 20 104 219 248 416 485 487 519 531
Mathematica Command, Expand 10 41 70 104 171 197 200 203 209 219 254 531 559
Mathematica Command, ExpandAll 135
Mathematica Command, ExpToTrig 130
Mathematica Command, Factor 12 14 143
Mathematica Command, FindRoot 32 523 539
Mathematica Command, First 487
Mathematica Command, Fit 329 519 528 536 551 607
Mathematica Command, Flatten 118 320 325 359 368 371 379 381 387
Mathematica Command, FontFamily 143 182 187 200 551 559 568 608
Mathematica Command, FontSize 61 68 120 182 187 551 559 568 607 608
Mathematica Command, FontSlant->Italic 607 608
Mathematica Command, FontWeight 590 608
Mathematica Command, FontWeight->Bold 559 607
Mathematica Command, For 248
Mathematica Command, Fourier 320 531 635
Mathematica Command, FourierParameters 320
Mathematica Command, FourierTransform 420
Mathematica Command, FractionalPart 379
Mathematica Command, Frame 118
Mathematica Command, Frame->True 18 85 140 144 148 215 270 271 273 288 325 329 607 608
Mathematica Command, FrameLabel 18
Mathematica Command, Frames 20 101 104 438 442
Mathematica Command, FrameStyle 607 608
Mathematica Command, FrameTicks 18 85 118 123 140 144 215 270 271 273 288 312 325 329 344 394 551 608
Mathematica Command, Frame—>False 551
Mathematica Command, FullSimplify 24 49 104 130 171 187 267 438
Mathematica Command, Gamma 184
Mathematica Command, Grad 344 523 628
Mathematica Command, Graphics 160 325 408
Mathematica Command, Graphics3D 347
Mathematica Command, GraphicsArray 414 487
Mathematica Command, GridLines 329
Mathematica Command, HeadLength 140 270 271 288
Mathematica Command, HoldForm 10 12 215 527 575 578
Mathematica Command, Hue 15 18 49 56 79 101 104 116 128 143 148 168 184 187 200 215 256 267 270 271 273 275 288 298 300 312 320 325 326 329 344 359 361 368 371 374 379 386 399 402 408 416 420 442 459 460 462 467 469 472 482 485 519 527 528 531 539 551 590 607 635
Mathematica Command, I 492 507
Mathematica Command, Identity-Matrix 161
Mathematica Command, If 93 394 402
Mathematica Command, ImageSize 15 68 79 85 93 104 116 120 128 140 143 144 148 168 176 182 184 187 200 209 215 219 228 233 242 248 256 261 267 270 271 275 288 298 312 320 325 326 344 347 356 359 361 368 371 374 379 381 386 394 399 402 408 414 416 418 420 438 459 467 469 472 482 485 519 527 536 539 551 559 568 590 607 608 635 653
Mathematica Command, ImplicitPlot 148 298 628
Mathematica Command, Import 386
Mathematica Command, InputForm 11
Mathematica Command, Integer 374 381
Mathematica Command, IntegerPart 487
Mathematica Command, Integrate 10 43 171 182 187 215 219 438 442 460 527 575 578
Mathematica Command, InverseFourierTransform 420
Mathematica Command, InverseLaplaceTransform 418
Mathematica Command, JacobiSN 187
Mathematica Command, Join 459 462 469
Mathematica Command, LaplaceTransform 418
Mathematica Command, Length 487 507 635 653
Mathematica Command, Limit 168 182
Mathematica Command, ListDensityPlot 93 312
Mathematica Command, ListPlot 15 85 118 121 182 184 228 233 242 248 320 325 329 356 359 361 368 371 379 381 386 387 399 408 459 462 467 469 472 482 485 519 528 531 536 551 607 635 653
Mathematica Command, ListPlot3D 95 487
Mathematica Command, Log 8 15 374 519
Mathematica Command, LogicalExpand 193
Mathematica Command, LogLogPlot 254
Mathematica Command, Map 368 381
Mathematica Command, MatrixPower 459 462
Mathematica Command, Max 320
Mathematica Command, MaxSteps 18 49 61 79 116 118 256 273 326 347 371 551 568 590 608 628
Mathematica Command, MaxSteps->Infinity 320 325
Mathematica Command, MaxStepSize 263
Mathematica Command, Mesh 123
Mathematica Command, Mesh->False 344 394
Mathematica Command, MeshRange 312
Mathematica Command, Method->Adams 263
Mathematica Command, Method->Automatic 263
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