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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 |
Scattering data, time evolution 494
Scattering data, time-evolved 505
Scattering solution 497
Schaffer, W. M. 387
Schon, G. 85
Schuster, Peter 62
Scott Russell, John 99 437
Scott, Al 500
Secular term 201 208 297
Seebass, A. R. 100
Segur, Harvey 493 505
Seinfeld, J. H. 238
Selection 63
Self-adjoint operator 493
Self-excitation 70
Self-induced transparency 107
Self-inductance 68
Self-similar fractal 334
Selkov, E. E. 288
Semi-implicit method 261
Semiconductor, n-type 553
Semiconductor, p-type 553
Semiconductors 553
Separating variables 172 180
Separatrix 130 139 434
Separatrix, simple pendulum 191
Series solution 193
Set, Cantor 85 328
Set, Julia 394
Set, Mandelbrot 123 394
Shabat, A. B. 505
Shakespeare, William 265 293
Shannon, C. E. 318
Shock structure 417
Sierpinski carpet 88
Sierpinski gasket 88
Signal analyzer 532
Signal generator 616
Signal processing 318
Signal rectification 557
Signum function 216
Similarity solution 424
Simple domain 278
Simple harmonic oscillator 69
Simple poles 501
Sine map, bifurcation diagram 369
Sine map, Lyapunov exponent 375
Sine-Gordon equation, breather mode 107 442
Sine-Gordon equation, kink-antikink solution 106
Sine-Gordon equation, kink-kink solution 106
Sine-Gordon equation, mechanical model 103
SIR epidemic model 61 165
Sliding friction 534
Smith, A. M. 60
Snowflakes, fractals 83
Soap bubble 50
Soft spring 112 547 613
Solid of least resistance 99
Solitary wave 97 413 502
Solitary wave, amplification 472
Solitary wave, KdV 440
Solitary waves 432
Soliton, 3-wave interaction 99
Soliton, anti-kink 428
Soliton, bistable 307
Soliton, bright 435
Soliton, candle flame 99
Soliton, dark 435 448
Soliton, Davydov 111
Soliton, envelope 448
Soliton, great red spot 110
Soliton, Hirota’s method 450
Soliton, Kadomtsev — Petviashvili 450
Soliton, kink 103 428
Soliton, kink-kink collision 106
Soliton, optical 107
Soliton, Oregon coast 102
Soliton, Rossby 110
Soliton, spherical 109
Soliton, telecommunication 109
Soliton, topological 103
Soliton, two soliton solution 100 491 502
Soliton, waves 96
Solution,  pulse 431
Solution,  pulse 431
Solution, dark solitary wave 448
Solution, harmonic 296
Solution, kink 434
Solution, period eight 314
Solution, period four 314
Solution, period one 294
Solution, period three 312
Solution, period two 358
Solution, similarity 424
Solution, soliton, pure 501
Solution, Toda solitary wave 448
Solution, two soliton 502
Solution, vacuum 427
Sound production 6 20 531
Sparrow, C 291
Specific heat 252
Spectrum, continuous 497 501 503
Spectrum, discrete 497 501 503
Spherical pendulum 343 627
SPICE program 532 574 616
Spin toy 649
Spin toy pendulum 526
Spiral waves 82
Spruce budworm 237
Square well 494 495
Squid and herring 153
Stability analysis, Lorenz system 161
Stability, collisional 451
Stability, Courant condition 476
Stability, exchange of 365
Stability, neutral 364
Stability, von Neumann 475 477
Stability, Von Neumann analysis 473
Standard form 126
Standard map 123 389 397
StandardForm 10
State variables method 641
Steady-state 295 311
Stegun, Irene A. 168
Stein, M. L. and P. R. 372
Step doubling approach 231 249
Stiff system 257
Stiffness in a wire 99
Stiffness in an ODE 253
Stimulated thermal scattering 64
Stokes’ law 48
Stokes’ Theorem 279
| Strange Attractor 641
Strange attractor, Rossler 340
Strange attractors 118 325 326 333 401
Stretching and folding 375
Subharmonic 308 320 323 633
Subharmonic response 314
Subharmonic, n=3 311
Subscript notation 102
Sums 34
Superposition, linear 5 101
Superposition, nonlinear 101 429 432
Surface of revolution, minimum 174
Switch, biochemical 238
Symbolic computation 6
Symmetry breaking 90
Tacoma Narrows bridge 70
Takens, F. 386
Takens’ approach 386
Tangent bifurcation 368
Tangent field 138 140 148 149 157 436
Tangent field, reduced NLSE 436
Tank circuit 543
Tapestries, 2-d map 124
Tappert, Fred 100 108
Target pattern 81
Taylor expansion 46 224
Taylor series 239
Taylor — Couette flow 387
Tent map 369
Tent map, Lyapunov exponent 375
Tenure model 153
Term project 36
Terminal speed 172
terminal velocity 15
Terminal velocity, basketball 49
Terminal velocity, raindrop 49
Terminal velocity, soap bubble 50
Theorem, Bendixson’s negative 278
Theorem, Bianchi’s 429
Theorem, Frommer’s 290
Theorem, Lyapunov 136
Theorem, Parseval’s 317 319
Theorem, Parseval’s, discrete 324
Theorem, Poincare 137 139 142
Theorem, Poincare — Bendixson 281 286 289
Theorem, sampling 318
Theorem, Stokes’ 279
Thin liquid films (spreading) 424
Thomas, L. H. 237
Three wave problem 445
Thurber, James 413
Tillman, L. 54
Time evolution operator 497 499
Time lag 58
Toda Hamiltonian 353
Toda potential 52 353
Toda, Morikazu 52
Tolerance 252
Torus, KAM 349
Tourists 30
Trading records, Hudsons Bay Company 54
TraditionalForm 10
Transcritical bifurcation 365
Transform, auto-Backlund 427 429
Transform, Backlund 425
Transform, discrete Fourier 319
Transform, fast Fourier (FFT) 319
Transform, Fourier 317 500
Transform, Hopf — Cole 423
Transient 318
Transient chaos 341
Transmission coefficient 494 496 500 501 504
Tree, fractal 335
Trial solution 218
Trig identities 34
Tumor growth 246
Tunnel diode 73 74 553 602
Turbulence 534
Tyson, John 76 82
Ueda, Y. 112
Ulam, Stan 51 90
Ultraharmonic 308
Ultrasonic cavitation 387
Ultrasubharmonic 309 322 633
Unimodal map 367 371 387
Unitary condition 498
Unitary operator 498
Universal sequence 372
Unstable focal point 570
Vacuum solution 427 430
Van der Mark, J. 80
Van der Pol, B. 80
Variable stars 273
Verhulst 58 176
Verhulst equations 150
Verhulst term 58
Viscous drag 35
Volterra, Vito 54
von Neumann, John 90
Vortex 138
Waves, chemical 82
Waves, Marshak 424
Waves, shallow water 99
Waves, solitary 413 432
Waves, solitary, Boussinesq 449
Waves, solitary, bright 448
Waves, solitary, Burgers 449
Waves, solitary, dark 448
Waves, solitary, KdV 470
Waves, solitary, nerve fiber 449
Waves, solitary, Toda 448
Waves, soliton 96
Waves, spiral 82
Weather forecasting 334
Weighting coefficients 239
White dwarf stars 237
White noise 580
Wien bridge oscillator 579
Wilde, Oscar 39
Winding number 380 381
Winding number, irrational 380
Winding number, rational 380
Winfree, A. T. 81
Wolfram, Stephen 6 90
Z-S/AKNS approach 505
Zabusky, Norm 100 470
Zaikin, A. N. 82
Zakharov, V. E. 505
Zero  pulse 431
Zeroth law of thermodynamics 51
Zhabotinski, A. M. 82
Zwillinger, Daniel 168 425
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