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Enns R.H., Mc Guire G.C. — Nonlinear physics with mathematica for scientists and engineers
Enns R.H., Mc Guire G.C. — Nonlinear physics with mathematica for scientists and engineers

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Название: Nonlinear physics with mathematica for scientists and engineers

Авторы: Enns R.H., Mc Guire G.C.

Язык: en

Рубрика: Математика/Численные методы/Моделирование физических процессов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 726

Добавлена в каталог: 21.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, $0\pi$ pulse      431
Solution, $4\pi$ 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 $\pi$ pulse      431
Zeroth law of thermodynamics      51
Zhabotinski, A. M.      82
Zwillinger, Daniel      168 425
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