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| Авторизация |
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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 |
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  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
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