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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
Negative resistance      73 557 641
Neon glow lamp      591 639
Neon tube      75
Nerve cell      253
Nerve fiber, solitary wave      449
Neumann boundary condition      479
Newell, Alan      493 505
Newton, Isaac      81
Newton’s law of resistance      48
Newton’s Second Law      40 46 53 126 252 538 605 646
Nine iron      50
Non-autonomous      126
Non-ergodic      51
Non-invertible map      383
Nonconservative map      396
Nonlinear damping      48
Nonlinear diffusion      414
Nonlinear diode circuit      176 196 219
Nonlinear inductor      68
Nonlinear integral equation      503
Nonlinear lattice dynamics      51
Nonlinear LRC circuit      69
Nonlinear mechanics      39
Nonlinear resonance curves, slope and stability      303
Nonlinear response curves      298 609 617
Nonlinear response curves, second order      298
Nonlinear superposition      429 432
Nonlinear systems, 3-d      159
Normal mode      51
Noyes, R. M.      76
Numerical instability      236 256
Numerical method, 3rd order RK      241
Numerical method, 4th order RK      242
Numerical method, adaptive step size      247
Numerical method, backward Euler      258
Numerical method, characteristics      479
Numerical method, Crank — Nicolson      477
Numerical method, Euler      228 236
Numerical method, explicit      457
Numerical method, explicit, diffusion equation      473
Numerical method, Heun’s      241 245
Numerical method, implicit      258 476
Numerical method, implicit Euler      258
Numerical method, modified Euler      232 241
Numerical method, RKF 45      250
Numerical method, Runge — Kutta      238
Numerical method, semi-implicit      261
Numerical method, step doubling app.      249
Numerical method, Zabusky — Kruskal      470 476
Numerical Recipes      224 250 316
Numerical stability      472
Nyquist frequency      318 320 322
Nyquist, H.      318
Olsen, M.      101
One-out-of-eight rule, cellular automata      93
Op-amp      571 580
Operator, adjoint of      493
Operator, identity      497
Operator, self-adjoint      493 495 498
Operator, time evolution      497 499
Operator, unitary      498
Optical logic gate      109
Optical switching      307
Orbital motion      246
Oregonator model      79
Orthogonal      218
Oscillation, forced      308
Oscillation, free      308
Oscillation, harmonic      308
Oscillation, subharmonic      308
Oscillation, torsional      70
Oscillation, ultraharmonic      308
Oscillation, ultrasubharmonic      309
Oscillator, chemical      79
Oscillator, chemical, BZ      76 387
Oscillator, chemical, ZZ      82
Oscillator, Duffing      293
Oscillator, Duffing, hard spring      294
Oscillator, Duffing, inverted      294 314 321 333
Oscillator, Duffing, nonharmonic      294 310 320
Oscillator, Duffing, soft spring      294
Oscillator, electronic      69
Oscillator, electronic, VdP      265
Oscillator, forced      112
Oscillator, glycolytic      288
Oscillator, glycolytic, forced      334
Oscillator, harmonic      4 51
Oscillator, harmonic, overdamped      254
Oscillator, harmonic, stiff      259
Oscillator, mechanical      609
Oscillator, relaxation      597
Oscillator, relaxation, beating heart      80
Oscillator, relaxation, teeter-totter      80
Oscillator, relaxation, VdP      274
Oscillator, self-excited      70 601
Oscillator, soft spring      614
Oscillator, tunnel diode      70 559
Oscillator, Wien bridge      270 579 587
Oscilloscope      545
Oscilloscope, digital storage      561 647
Oscilloscope, dual trace      596
Pacemaker      335
Paola, C      92
Parabolic PDE      457 483
Parametric excitation      41 252
Parasitic inductance      603
Parker, T. S.      83
Parseval’s theorem      317 319
Pascal, Blaise      223
Pasta, J.      51
Pattern, snowflake      83
Pattern, target      82
Peitgen, Heinz-Otto      123
Pendulum      4
Pendulum, ball bearing      46
Pendulum, compound      575
Pendulum, damped      133 183
Pendulum, double      45 343
Pendulum, inverted      563
Pendulum, nonlinearly damped      151
Pendulum, rotating      45 222
Pendulum, simple      3 40 127 130 343
Pendulum, simple, separatrix      191
Pendulum, spherical      44 343 627
Pendulum, spin toy      526
Period doubling      314 324 621 623
Period doubling, Lorenz system      341
Period doubling, observed      370
Period eight solution      314
Period five solution      333
Period four solution      314 362
Period one solution      294 310
Period three solution      311 312
Period three solution, power spectrum      320
Period two solution      118 358
Period two solution, power spectrum      322
Period, anharmonic potential      184
Period, compound pendulum      183
Period, hard spring      206
Period, meter stick      183
Period, simple pendulum      182 184
Periodic windows      368
Periodicity condition      208
Periodogram spectral estimate      319
Phase locking      382
Phase plane      128 343
Phase plane circuit      596
Phase plane portrait      596
Phase plane, analysis      125 433
Phase plane, portrait      127 149
Phase plane, portrait, higher order sing, pt.      148
Phase plane, portrait, pendulum      139
Phase plane, portrait, quasiperiodicity      337
Phase plane, portrait, reduced NLSE      436
Phase plane, portrait, strange attractor      326
Phase plane, portrait, VdP      158
Phase plane, rabbit-foxes      55
Phase plane, trajectory      127
Phase point      127
Phase space      343
Phase space, chemical oscillator      79
Phase trajectory      55
phase velocity      127
Piecewise linear      547 613 641
Pitchfork bifurcation      365
Planetary motion, general relativity      192
Poincare section      118 333 347
Poincare — Bendixson theorem      281 286 289
Poincare, indices      289
Poincare, method      138
Poincare, section      118 295 311 314 325 328
Poincare, theorem      137 142 434
Point, 3-d nodal      160
Point, attractor      130
Point, bifurcation      159 358
Point, bifurcation, flip      365
Point, bifurcation, pitchfork      365
Point, bifurcation, tangent      368
Point, bifurcation, transcritical      365
Point, fixed      360
Point, fixed, 2-d map      390
Point, fixed, stability      364 390
Point, focal      150 392
Point, focal or spiral      130 136
Point, higher order singular      136 148
Point, mesh      451 468
Point, nodal      132 136 391
Point, ordinary      128 133
Point, saddle      129 137 139 143 230 391 434 436
Point, simple singular      133
Point, stable equilibrium      128
Point, stable focal      130
Point, stable nodal      133 136
Point, stationary or singular      127 133 138 142 149 285
Point, stationary or singular, index of      290
Point, unstable equilibrium      128
Point, unstable focal      132
Point, unstable nodal      133
Point, vortex      139 150 231 434 436
Point, vortex or center      129 137
Poisson method      196
Polarity      602 624
PolyLog      10
Pomraning, G. C.      424
Pope, Alexander      491
Positive feedback      580
Potential, anharmonic      53
Potential, double well      152 565
Potential, FPU      51
Potential, Lennard — Jones      192
Potential, refiectionless      501
Potential, Toda      52
Power series, Maclaurin      533
Power spectrum      316 320 633
Power spectrum, aliased      321
Power spectrum, measurement      323
Power spectrum, period three solution      320
Power spectrum, period two solution      322
Power spectrum, strange attractor      326
Prandtl number      90
Precision, machine      244
Precision, setting the numerical      244
Predator-prey map      121 393
Prigogine, I.      285
Prime notation, spatial derivative      224
Projectile motion      31
Protein, energy transfer      111
Pure function      49
Pursuit, Hathaway’s      272
Pursuit, linear      173
Quality (Q) factor      526 587 616
Quantum mechanical tunneling      496 557
quantum mechanics      494
Quasi-soliton      433
Quasi-species      62 177 252
Quasiperiodicity      337 349 637 639
Quotes for all men      125
Quotes for he being dead      293
Quotes in all chaos      355
Quotes in the beginning      3
Quotes, but you will ask      81
Quotes, chaos often breeds      167
Quotes, excellent wretch      265
Quotes, his style is chaos      39
Quotes, humor is      413
Quotes, lo the dread      491
Quotes, the test of all      513
Quotes, there is nothing      451
Quotes, what a chimera      223
Quotes, what’s in a name?      513
Rabies      59
Raindrop      49
Random noise      383
Rangnekar, Sada      63 123 307
Rapoport, A.      67
Rayleigh number      90 370
Rayleigh — Benard convection      89
Rayleigh, Lord      89 216
Reactance      580
Reflection coefficient      494 496 504
Reflectionless potential      501
Refractory time      82
Relaxation oscillation      273 591 597 601
Relaxation oscillation, bobbing bird      277
Relaxation oscillation, fast and slow time scales      275
Relaxation oscillation, neon bulb      277
Relaxation oscillation, Old Faithful      277
Relaxation oscillation, Rayleigh’s equation      277
Relaxation oscillation, teeter totter      80
Relaxation oscillation, tunnel diode      277
Relaxation oscillation, variable damping oscillator      278
Relaxation oscillator      639
Relaxation time      584
Renormalization      371
Residual      217 218
Resonance curve      297
Reverse bias      556 624
Reverse saturation current      529
Richardson, L. F.      66
Richter, Peter H.      123
Ritz condition      218
Ritz method      216 218 220
RKF method      250
RNA chemistry      62
Robbins, K. A.      291
Rolls, cylindrical      370
Rolls, cylindrical and hexagonal      89
Roots      32
Rossler attractor      340
Rossler system      116 164 339 371
Rossler, O. E.      164
Runge — Kutta method      238
Safety factor      250
Saltzman, B.      89
Sampling frequency      318 320
Sampling theorem      318
Sansone, G.      288
Saperstein, A. M.      67
Saturable Kerr materials      307
Scattering data      494 499 504
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