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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
Epidemic, SIR model      61
Epidemiology      59
Equation of state, adiabatic      252
Equation, 3-wave      445
Equation, autonomous      126
Equation, baleen whale      247
Equation, Bernoulli      65 66 175 196
Equation, Bessel      178
Equation, biased VdP      156
Equation, Boussinesq      99 449
Equation, Brusselator      285
Equation, Burgers      414 425 474
Equation, chemical reaction      245
Equation, coupled reaction-diffusion      487
Equation, damped pendulum      150 526
Equation, driven tuning fork      216
Equation, Duffing      112 293 296 311 563 610
Equation, Duffing, hard spring      296
Equation, Duffing, inverted      113 326
Equation, Duffing, nonharmonic      112
Equation, Duffing, variable damping      281
Equation, eardrum      47 210
Equation, eigenvalue      494
Equation, Emden’s      253
Equation, equidimensional      179
Equation, Euler — Lagrange      174
Equation, Field and Noyes      77
Equation, fish harvesting      246
Equation, Fisher’s      483
Equation, Fitzhugh — Nagumo      253
Equation, forced glycolytic      334
Equation, fox rabies      60 260
Equation, Gelfand — Levitan      500
Equation, glycolytic oscillator      288
Equation, Gompertz      246
Equation, Hamilton’s      342
Equation, hard spring      149 179 200 203 206 213 221 544
Equation, Hathaway pursuit      272
Equation, Henon — Heiles      346
Equation, hyperchaos      164
Equation, integral, Fredholm      502
Equation, integral, G-L      501
Equation, integral, nonlinear      503
Equation, Kadomtsev — Petviashvili      101 450
Equation, KB first approx.      212
Equation, KdV      99 102 413 437 470 492 495
Equation, KdV, modified      510
Equation, Klein — Gordon      103 470
Equation, Klein — Gordon, nonlinear      467
Equation, Krylov — Bogoliubov      210
Equation, Lagrange      41
Equation, Laplace’s      483
Equation, laser beam competition      64 141 175 280 479
Equation, Lennard — Jones      192
Equation, linear diffusion      423 457
Equation, linear pursuit      173
Equation, logistic      176
Equation, Lorenz      90 159 291 340
Equation, magnetic basin      316
Equation, magnetic field reversal      163
Equation, Marchenko      500
Equation, modified KdV      510
Equation, modified VdP      210
Equation, multiple limit cycle      271
Equation, nerve fiber equation      449
Equation, NLSE      107 435 473 509
Equation, NLSE, 3-d      489
Equation, nonlinear damping      210
Equation, nonlinear diffusion      424 475
Equation, nonlinear diffusion, Fisher      466 475
Equation, nonlinear diode      196 219
Equation, nonlinear response      298
Equation, nonlinear spring      221
Equation, nonlinear wave      486
Equation, Oregonator      77 163
Equation, owl      165
Equation, PDE, general 2nd order      482
Equation, planetary motion, general relativity      192
Equation, Poisson’s      252
Equation, predator-prey      54
Equation, predator-prey, 3 species      164
Equation, rabbits-foxes      56 150 228
Equation, Rayleigh’s      75 277
Equation, Riccati      64 177
Equation, Rossler      116 164 339
Equation, same food supply      246
Equation, Schrodinger      494
Equation, semistable limit cycle      270
Equation, simple pendulum      3 40 138 179 180
Equation, sine-Gordon      103 426 429 433 482—484 510
Equation, sine-Gordon, reduced      434
Equation, soft spring      149
Equation, stable limit cycle      266
Equation, stiff      253
Equation, Sturm — Louiville      219
Equation, Thomas — Fermi      237
Equation, Toda      53 448
Equation, transcendental      497
Equation, tumor growth      246
Equation, unstable limit cycle      271
Equation, Van der Pol      69 149 157 196 207 237 274 559 589
Equation, Van der Pol, forced      335
Equation, variable damping      278
Equation, variable star      273
Equation, Verhulst      150
Equation, Volterra — Lotka      54
Equation, white dwarf      237
Equipartition of energy      51
Equipotential diagram      628
Error, cumulative      231
Error, measure of      250
Error, truncation      231 251 465 468 479
Euler method      228 236
Euler strut      564
Excitable medium      82
Excitable medium, forest fires      82
Excitation, parametric      41 252
Experimental Activity, 01: Magnetic Force      36 517
Experimental Activity, 02: Magnetic Tower      36 521
Experimental Activity, 03: Spin Toy Pendulum      43 525
Experimental Activity, 04: Driven Eardrum      47 529
Experimental Activity, 05: Nonlinear Damping      48 533
Experimental Activity, 06: Anharmonic Pot.      53 537
Experimental Activity, 07: Iron Core Inductor      69 543
Experimental Activity, 08: Nonlin. LRC Circuit      69 547
Experimental Activity, 09: Tunnel Diode Curve      73 553
Experimental Activity, 10: Tunnel Diode Osc      74 559
Experimental Activity, 11: Forced Duffing Eq.      114 563
Experimental Activity, 12: Focal Pt. Instab.      132 569
Experimental Activity, 13: Compound Pend.      183 575
Experimental Activity, 14: Damped Pendulum      183 577
Experimental Activity, 15: Stable Limit Cycle      270 579
Experimental Activity, 16: VdP Limit Cycle      270 587
Experimental Activity, 17: Neon Bulb      277 591
Experimental Activity, 18: Drinking Bird      277 597
Experimental Activity, 19: Tunnel Diode      277 601
Experimental Activity, 20: Hard Spring      295 605
Experimental Activity, 21: Mech. Res. Curve      305 609
Experimental Activity, 22: Elec. Res. Curve      305 613
Experimental Activity, 23: Mag. Res. Curve      305 617
Experimental Activity, 24: SubharmonicResp.      314 621
Experimental Activity, 25: Period Doubling      314 623
Experimental Activity, 26: 5-Well Potential      314 627
Experimental Activity, 27: Power Spectrum      323 633
Experimental Activity, 28: Entrainment      337 637
Experimental Activity, 29: Quasiperiodicity      338 639
Experimental Activity, 30: Chua’s Butterfly      341 641
Experimental Activity, 31: Route to Chaos      368 645
Experimental Activity, 32: Driven Spin Toy      368 649
Experimental Activity, 33: Mapping      388 651
Experimental activity, symbol for      35
Exponent, Lyapunov      332
Extinction voltage      593
f substitutions      241 251
Fast Fourier transform(FFT)      319 532 633 648
Fast Fourier transform(FFT), 3d      490
Feedback      270
Feigenbaum number      367 368 370
Feigenbaum, M. J.      367
Fermi, Enrico      51 237
Fern, Barnsley’s      85
Fern, Black Spleenwort      87
Fern, cyclosorus      334
Fern, fishbone      334
Fern, fractal      85
Fern, fractal dimension      329
Field, R J.      76
Finite difference approximation      224
Firing voltage      594
Fish harvesting      246
Fitzhugh — Nagumo model      253
Fixed points, 1-d map, stability      364
Fixed points, 1-d map, stability condition      364
Fixed points, 1-d map, stable      360
Fixed points, 1-d map, unstable      360
Fixed points, 2-d map, classification      390
Fixed points, 2-d map,stability      390
Fixed points, attractive      362
Flip bifurcation      365 369
Focal point instability      132 569
Focal point, trajectory source      270
Focal point, unstable      570 580
Force meter      607
Forced oscillation      308
forward bias      556 624
Four $\pi$ pulse      431
Fourier analysis      473
Fourier series      211
Fourier sum      97
Fourier transform      317 420 424 500
Fourth-order RK method      242
Fox rabies      59 260
FPU anomaly      51 52
Fractal dimension, Barnsley’s fern      329
Fractal dimension, box counting approach      328
Fractal dimension, capacity      83
Fractal dimension, cellular automata      335
Fractal dimension, coastline      335
Fractal dimension, Cyclosorus fern      334
Fractal dimension, fishbone fern      334
Fractal dimension, Koch curve      334
Fractal dimension, Rossler attractor      340
Fractal dimension, strange attractor      332
Fractal, dimension      83 326 328
Fractal, fern      85
Fractal, pictures      123
Fractal, self-similar      85
Fractal, snowflake      83
Fractal, tree      335
Fredholm integral equation      502
Free oscillation      308
Frequency, demultiplication      308
Frequency, Nyquist      318 320 322
Frequency, sampling      318 320
Frequency, subharmonic      320
Fresnel lens      599
Frommer’s theorem      290
Function, Dirac delta      420 505
Function, elliptic cosine      186 191
Function, elliptic sine      183
Function, elliptic, properties      191
Function, Gamma      184
Function, pure      49
Fundamental theorem of Cauchy      128
Fur catches      54
Gain      583
Galerkin condition      218
Galerkin method      218
Game of life      91
Gamma function      184
Gardner, C. S.      491
Gas percolation      424
Gear method      264
Generalized momentum      342
Generating solution      198 202
Genesis      1 3
Geometric representation      358
Geometry, cylindrical      90
Glass, L.      80 92 379
Glycolysis      288
Goel, N. S.      57
Goldenfeld, N.      85
Golf ball      50
Golf ball dynamics      49
Golf problems      50
Gompertz law      246
Greene, J. M.      491
Grossman, Siegfried      67
Hahn, E.      107
Half-trajectory      281 282
Hall probe      567 622 631 634 647
Hamiltonian, chaos      342
Hamiltonian, function      342
Hamiltonian, Henon — Heiles      343
Hamiltonian, Toda      353
Hamilton’s equations      342
Handbook of Differential Equations      425
Handbook of Mathematical Functions      168
Hard spring      187 200 294 544 605 610 613 618
Harmonic      308
Harmonic oscillator, overdamped      133
Harmonic oscillator, undamped      137
Harmonic solution      294 296
Hasegawa, A.      108
Hathaway, A. S.      272
Heisenberg uncertainty principle      97
Helmholtz coil      618 621
Helmholtz, H      46 308
Henon map      376
Henon map, stretching and folding      377
Henon quadratic map      397
Henon strange attractor      376
Henon — Heiles potential      344
Henon, Michel      376
Heteroclinic orbit      434
Heun’s method      241 245
Higher dimensions      488
Hirota’s direct method      450
Holes      553
Homoclinic orbit      436
Hooke’s law      46 147 605
Hopf — Cole transform      423
Hudsons Bay Company      54
Huygens      335
Hydrogen atom      31
Hyperbolic PDE      467 483
Hyperchaos      164
Hypersurface      347
Hysteresis      305 306 610 613 618
Identity operator      497
Impedance      33
Implicit method      258
Implicit method, Euler      258
Ingersoll, A. P.      111
Initial value problem      457
Instability, focal point      569
instantons      450
Intermittency      368 372 646
InterpolatingFunction      264
Inverse Fourier transform      317
1 2 3 4 5 6
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