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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
Ablowitz, Mark      493 505
Abramowitz, Milton      168
ac circuit      33
Action potential      253
Adams method      264
Adams, Henry B.      167
Adaptive step size      247
Adjoint      498
Adjoint of an operator      493
Adjoint, relations      495
Airtrack      539
Airtrack glider      605
Alfven wave      510
Aliasing      318 320
Analytic method approximate      193
Analytic method approximate, Galerkin      218
Analytic method approximate, iteration      296
Analytic method approximate, Krylov — Bogoliubov      210
Analytic method approximate, perturbation, Lindstedt’s      203 207
Analytic method approximate, perturbation, Poisson’s      196
Analytic method approximate, Ritz      216 219
Analytic method approximate, Taylor series      193
Analytic method exact, Bernoulli equation      175
Analytic method exact, form $\dfrac{d^2y}{dx^2} = f(y)$      179
Analytic method exact, Riccati equation      177
Analytic method exact, variable separation      172
Anderson, R. M.      60
Anharmonic lattice dynamics      51 510
Anharmonic potential      53 184 537
Anode      555
Antipov, S. V.      110
Arms race      66
Arnold’s tongues      382
Attractor, 3-d      386
Attractor, butterfly      388
Attractor, butterfly, reconstruction      386
Attractor, chaotic      377 383 384 386
Attractor, double-scroll      641
Attractor, Henon      377
Attractor, Lorenz      332 372
Attractor, Rossler      371 388
Attractor, strange      118 326 333 334 377 641
Auto-Backlund transform      427 429
Autonomous system      126 311
Backlund transform      425
Backward Euler method      258
Bak, P.      378
Baleen whale      58 247
Band-width limited      318
Barone, A.      104
BASEBALL      49
Basin of attraction      312 324
Basin of attraction, magnetic      316
Basketball      49
Beating heart      80
Beats      34 532
Belousov      76
Ben-Jacob, E.      85
Bendixson’s first theorem, proof of      278
Bendixson’s negative criterion      278 280
Bendixson’s second theorem      281
Bettini, A.      101
Bianchi’s theorem      429
Bias signal      530
Bifurcation, diagram      368
Bifurcation, flip      369
Bifurcation, Hopf      155
Bifurcation, parameter      115 159
Bifurcation, pitchfork      154
Bifurcation, point      160 358
Bifurcation, point, flip      365
Bifurcation, point, pitchfork      365
Bifurcation, point, tangent      368
Bifurcation, point, transcritical      365
Bifurcation, saddle-node      154
Bifurcation, transcritical      154
Bifurcation, values      115 121 150
Big fish-little fish      54
Biological molecules      62
Bistable soliton      307
Bloch wall      103 426
Bloch, Felix      103
Bohr, T.      378
Bombay plague      61 165
Bougner, Pierre      173
Bound state solution      497 504
Breather mode, sine-Gordon      107 442
Brusselator model      285
Buckmaster, J.      424
Bulls-eye pattern      81
Butterfly effect      334
Butterfly wings      115 160 326 340
BZ chemical reaction, ingredients      76
Calculus of variations      174
Campbell, David      52
Cantor set      85
Cantor set, middle-half      88
Cantor set, middle-third      88
Cantor set, self-similar      328
Capacity dimension      328
Cartoons, 3-wave problem      445
Cartoons, approximation      451
Cartoons, arms race      66
Cartoons, baseball      49
Cartoons, butterfly attractor      388
Cartoons, butterfly effect      340
Cartoons, devil’s staircase      412
Cartoons, drinking bird      599
Cartoons, feedback      264
Cartoons, five well      631
Cartoons, fixed point      363
Cartoons, forced oscillator      293
Cartoons, fox rabies      60
Cartoons, game of life      90
Cartoons, ghost tunneling      491
Cartoons, golfer      222
Cartoons, hard spring      605
Cartoons, holmes      167
Cartoons, hysteresis      450
Cartoons, inverted duffing      294
Cartoons, limit cycle      265
Cartoons, linear physics      4
Cartoons, Lyapunov exponents      372
Cartoons, magnetic field reversal      163
Cartoons, map      38
Cartoons, noise vs chaos      383
Cartoons, nonlinear damping      541
Cartoons, nonlinear physics      5
Cartoons, not this nonlinear      39
Cartoons, numerical approach      223
Cartoons, power spectrum      635
Cartoons, relaxation oscillations      273
Cartoons, Ritz method      216
Cartoons, route to chaos      324
Cartoons, self-induced transparency      107
Cartoons, Socrates      125
Cartoons, spider attractor      353
Cartoons, stimulated scattering      64
Cartoons, strange attractor      117
Cartoons, tunnel oscillator      561
Cathode      555
Cathode ray tube (CRT)      545
Cellular automata, blinkers      92
Cellular automata, braided stream      92
Cellular automata, game of life      90
Cellular automata, stationary structure      96
Chain rule      426
Chandresekhar, S.      237
Chaos      646
Chaos, broadband noise      326
Chaos, deterministic      383
Chaos, Greek mythology      111
Chaos, Hamiltonian      342
Chaos, heart      80
Chaos, hyper      164
Chaos, maps      111 358 362 377 386
Chaos, outbreak of war      67
Chaos, route to      313 383
Chaos, route to period doubling      324 367
Chaos, sensitivity to initial conditions      327
Chaos, transient      341
Chaos, versus noise      383
Chaotic solution      358
Characteristic direction, curved      486
Characteristic direction, linear      484
Chart recorder      567
Chemical oscillator      79
Chemical reaction      245
Chemical reaction, Brusselator      285
Chemical reaction, BZ      76
Chemical waves      82
Chemical waves, ingredients for      81
Chu, F. Y. F.      500
Chua, L. O.      83
Chuang-tzu      125
Chua’s butterfly      117
Chua’s circuit      643
Circle map      378
Circle map and heartbeat      379
Circle map, geometric picture      379
Circuit, ac      33
Circuit, Chua’s      643
Circuit, dc      33
Circuit, electronic oscillator      69
Circuit, neon tube      75
Circuit, nonlinear diode      176 196
Circuit, nonlinear inductor      68
Circuit, tunnel diode oscillator      70
Cobweb diagram      359 379
Commutator bracket      492
Complex impedance      580
Compound pendulum      575
Conservation laws, KdV equation      503
Conservative map      396
Conti, R.      288
Control parameter      119 123 621
Conus sea shell      93
Convection, liquid mercury      370
Convection, Rayleigh — Benard      89 370
Convection, thermal      90
Convective derivative      414
Conway, John      91
Coupled reaction-diffusion equations      487
Courant stability condition      476
Covalent bonding      553
Cruzeiro-Hansson, L.      111
Crystal dislocation      106
Cubic map      363
Current-carrying wires      151
Curve of pursuit      173
Curved characteristics      486
Curves, linear response      297
Curves, nonlinear response      298
Damping, baseball      49
Damping, Coulomb (dry) friction      216
Damping, laminar      534
Damping, Newton’s law      48 172 534
Damping, nonlinear      48 168 173 210 214 533
Damping, quadratic      215
Damping, Stokes’ law      48 316 534
Damping, variable      278
Damping, variable, Duffing      281
Darwinian selection      62
Davydov, A. S.      111
dc circuit      33
de Vries, G.      99
Degenerate kernel      501
Degrees of freedom      342
Demonstration compass      646
Dendritic structures      85
DEplot      149
Devil’s staircase      381
Diamond-shaped grid      480
Difference approximation, 3rd derivative      456
Difference approximation, backward      225 258 476
Difference approximation, central      225 474
Difference approximation, forward      225 452
Difference approximation, fourth derivative      227
Difference approximation, Laplacian operator      456
Difference approximation, partial derivatives      451
Difference approximation, second derivative      226 452
Difference approximation, space-time      453 456
Digital multimeter      616
Dilution term      63
Dimension, capacity      83 328
Dimension, dynamical system      83
Dimension, Euclidean space      83
Dimension, fractal      83 326 328 377
Dimension, Lyapunov      332
Dimensionless variables      196
Diode      529 623
Diode, germanium      529
Diode, silicon      529
Dirac delta function      420 503 505
Direct problem      495 500 503
Dirichlet boundary condition      457
Discrete Fourier Transform      319
Discrete Fourier transform, inverse      319
Discrete Parseval’s theorem      324
Discrete spectrum      497
dispersion      35
Dispersion, relation      99
Dispersion, solitons      97
Doping      553
Dot notation, time derivative      224
Double pendulum      45 343
Driven pendulum      324
Duffing equation      563 610
Duffing equation, negative stiffener      564
Duffing, G.      307
Dynamic resistance      583
Dynamics, nonlinear lattice      51
D’Ancona      54
Eardrum      35
Eardrum, equation      47 210
Eardrum, forced      529
Eardrum, free vibrations      192
Eardrum, Helmholtz model      46
Edmundson, Darran      109 488
Eigen, Manfred      62
Eigenfunction      493
Eigenvalue      494 496
Eigenvalue, bound state      494 497 499
Eigenvalue, bound state, simple pole      501
Eigenvalue, problem      498
Electron avalanche      591 639
Elliptic function, cn u      186
Elliptic function, dn u      187
Elliptic function, Jacobian      43
Elliptic function, properties      191
Elliptic function, sn u      186
Elliptic integral, amplitude      181
Elliptic integral, complete      184
Elliptic integral, first kind      181 184
Elliptic integral, modulus      181
Elliptic integral, second kind      181
Elliptic PDE      483
Enns, R.      63 109 123 307 488
Entrainment      335 637
Epidemic      59
1 2 3 4 5 6
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