Aoki K. — Nonlinear dynamics and chaos in semiconductors :: Электронная библиотека попечительского совета мехмата МГУ

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Aoki K. — Nonlinear dynamics and chaos in semiconductors

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Название: Nonlinear dynamics and chaos in semiconductors

Автор: Aoki K.

Аннотация:

Describes chaotic behaviors mainly associated with nonlinear carrier transport via the impact-ionization avalanche in bulk-semiconductor materials, including bifurcation routes to chaos, fractal dimensions of strange attractors, and circle map behavior

Язык:

Рубрика: Физика/Физика твёрдого тела/Приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 580

Добавлена в каталог: 26.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$1/f^{\alpha}$ -noise      413
$f(\alpha)$ spectrum      229 265 303 317 327 334 396 401
$p^{+}-n^{+}-p-n^{-}$ diode      127 421 444 469
$\Gamma$ -band      58
$\Gamma$ -valley      49 548
$\lambda$ -shaped, map function      207 209
$\lambda$ -shaped, return map      520
$\mu$ -shifting      187 189
1/f noise      309
1D transverse breakdown mode      518
2D charge accumulation      553
2D electron gas      539
2D invertible map      181
2D phase portrait      396
2D subbands      542
2DEG      539
??-mode operation      379
Accumulation, layer mode      55
Accumulation, point      199
Acoustic, deformation potential scattering      109 388
Acoustic, phonon scattering      67 69
Acousto-electric effect      42
Action integral      362
Activation, local      514
Activator      450 456
Activator, effect      243
Activator, local      507
Activator-inhibitor, effect      520
Activator-inhibitor, model      450 516
Admittance, effective      377
Affinity force      212
AlGaAs layer      546
Algebraic set      161
All-or-none transition      240—241
Alternating periodic-chaotic bifurcation sequence      269 272
ambient noise      358
Ambipolar diffusion      451
Anharmonic, equation      121
Anharmonic, oscillation      16
Anharmonic, vibrations      14
Annulus      339
Anode      60
Antisymmetric fluctuation      456
Approximate polarized-orbital calculations      94
Area-preserving map      339
Arnold tongues      62 63 229 287 337 339—340 350 481 482
Asymmetric breathing      426
Asymmetric breathing, mode      503
Attracting set      281 317
Attractor      141 353 367
Auger process      66
Autocatalytic, process      507
Autocatalytic, reaction      24
Autonomous      13 152
Autonomous, system      14 19 292 337
Avalanche breakdown      235 450
B-Z reaction      23 204
Back-gating effect      533
Baker’s transformation      197
Balancer voltage      406
Ballistic energy      547
Band, merging      199 248
Band, mixing      199
Band-merging crisis      363
Basin of attraction      164 196 353—354
Basin, boundaries      166 197 249 351
Basis vectors      320
Belousov — Zhabotinsky reaction      527
Benard experiment      194
Bendable filaments      500
Bifurcation, diagram      178 187 226 248 325 496
Bifurcation, generalized      308
Bifurcation, points      376 378
Bifurcation, routes to chaos      175 178
Bifurcation, set      142 149
Biological systems      516
Bistability      26 168 430 553
Bistability, state      167
Boltzmann equation      39 70
Bound excitons      483
Boundary crisis      196 367 398 401
Box-counting algorithm      311
Break-up of a torus      337
Breakdown, field      66 111 168 213 241 390
Breakdown, local charge neutrality      122
Breakdown, perfect delay      152 178 185 267
Breakdown, voltage      396 403 406 487
Breathing, dynamics, enforced      405
Breathing, filament      456 483 496
Breathing, mode      216 388 411 419 462 495
Breathing, mode, enforced      216 266 406 495
Broad-band noise      350
Brooks — Herring, coefficient      89
Brooks — Herring, formula      72 107 518
Brooks — Herring, mobility      89 110
Brownian fractals      304
Brusselator      509
Bulk-dominated mode      216
Bulk-dominated mode, oscillating      499—500
Bursts      296
Butterfly catastrophe      147 149 386 390
Canalizations      308
canonical ensemble      11
Cantor, dust      306 331
Cantor, set      306 329
Cantorian structure      311
Capacity dimension      177 309 313 317 333 352 401
Carrier, density      73
Carrier, diffusion      521
Carrier, transport systems      22
Catastrophe, manifold      137 142 180
Catastrophe, map      142
Catastrophe, theory      137
Catastrophic jump      143
Cathode      60
CdS      272
CdSe      65
Center manifold theorem      282
Central limit theorem      363—364 368
Chain rule      187
Chaos      27 50 85 146 178 223 232 315 497
Chaos, fully developed      200 207 279
Chaos-chaos      197
Chaos-chaos, transition      197 249 251 394
Chaotic, attractor      79 249 267 295 334 370 400
Chaotic, behaviors      173 233 237
Chaotic, buckling      529
Chaotic, laser      526
Chaotic, orbits      6 175 197 207 295 368
Chaotic, oscillation      14—15
Chaotic, regime      153 481 498
Chaotic, relaxation oscillations      155
Chaotic, repeller      363 544
Chaotic, solutions      55 65 170
Chaotic, trajectory      16 175
Chaotic, wrinkled torus      285 288
Characteristic exponents      158 169 184
Charge, density wave      14
Charge, neutrality, condition      76 115 121 211 381 424
Charge, neutrality, local      384
Chemical, patterns      511
Chemical, potential      113 211
Chemical, reaction systems      22
Chua’s circuit      16 526
Circle map      22 338—339
Circle map, behavior      229 303 335 341 347 350 468 481
Coarse-grained, divergence rate      369
Coarse-grained, signal      239 252
Coherent fluctuation      210
Collector, current density      446

Collector, voltage      446
Collisions of solitons      517
Compensated, materials      66 86
Compensated, semiconductors      91
Compensation ratio      71 424 470
Conservative classical mechanics      8
Continuity, equation      115 423 508 541
Control parameters      2 12 166 275 283 380
Controlling chaos      526
Convection loop      526
Convention of perfect delay      143 155
Conwell — Weisskopf approximation      428
Cooperative, behaviors      275
Cooperative, phenomenon      23
Corbino-disc      483
Correlation, dimension      280—281 313 317 382 396
Correlation, integral      280
Coupling, local      419
Crank — Nicholson method      60 460
Crisis      366 396
Crisis, point      365
Crisis-induced intermittency      199 274 282—283 295
Critical, points      138 139
Critical, quasi-periodicity      343
Critical, slowing down      168
Cross-over, instability      150 386 402 413
Cross-over, instability, current      398
Cross-talk coupling      406 413
Cryosar      221
Crystal momentum      34
Current, density      548
Current, filament      31 119 128 216 229 230 243 266 374 418
Current, filamentation      120 130 275 386 469
Current, injection efficiency      412
Current, instability      225 233 503
Current, non-ohmic      68
Current-controlled, bias condition      105 168
Current-controlled, condition      125
Current-controlled, negative resistance      445
Current-field characteristic      70
Cusp, catastrophe      137 142 152
Cusp, structure      148
Cylinder torus      288 293
Cylindrical current filament      127
Debye length      111 120 275 519
Debye — Hueckel potential      87
Deep-trap levels      233
Deformation potential      60
Deformation potential, constant      108
Degenerate critical points      138 142
Degrees of freedom      168 173 397
Delayed domain mode      55
Deterministic, amplifier      374
Deterministic, chaos      1 65 239 316 378
Deterministic, noise amplification      326 374 376 378
Devil’s staircase      57 272 285 340 347 468
Dielectric, constant      58
Dielectric, equation      400 423
Dielectric, relaxation, mode      388
Dielectric, relaxation, time      169 382 388
Dielectric, response      103 503
Diffeomorphism      139
Difference equation      109
Differential, cross-section      89 95
Differential, cross-section, collision      86 88
Differential, resistance      403
Differential, system      139
Diffusion, approximation      41
Diffusion, constants      58
Diffusion, current      52 213
Diffusion, current, density      508
Diffusion, length      451
Diffusion, precursor      459
dimensions      316 327
Diode resonator      526
Dipole domain      61
Dipole domain-like field      485
Dipole domain-like field, distribution      503
Dirichlet boundary conditions      431 460 465
Displaced heated Maxwellian      546
Displacement current      52 266—267
Dissipation, power      364 367
Dissipation, rate      361
Dissipation/fluctuation problem      361
Dissipative, nonlinear processes      8
Dissipative, physical systems      13
Dissipative, structures      8 210 217 275 418
Dissipative, system      184
Distribution function      40
Divergence      143
Divergence, rate      12
Divergence, rate, local      368
Domain, boundary      551
Domain, propagation      62
Donor ionization energy      69
Donor-bound excitons      237
Doping notch      60
Double heterostructures      542
Double-well potential      16 107 143
Double-well potential, function      161
Doubly S-shaped characteristics      390
Drift, current density      508
Drift, energy      36
Drift, velocity      52 58 70
Drift-diffusion approximation      438
Driven, chaos      214
Driven, pendulum      14 18 177 362
Driving, force      14 175 177 248 337
Driving, frequency      173 340
Driving, oscillator      248
Duffing equation      16 137 159 368
Duffing — Ueda attractor      177
Dynamical, behaviors      384
Dynamical, Hall-field instability      422
Dynamical, structure functions      370
Dynamical, system      139 309
e-e scattering      37
Edge of chaos      275
Einstein relation      428
EL2, centers      171 234
EL2, levels      533
Elastic process      86
Electrical breakdown      68
Electroluminescence      127
Electron, gas      36
Electron, mobility      72 89
Electron, temperature      36 69 79 109 395
Electron, temperature, model      37 69 71
Electron, transfer      49
Electron-beam-induced instability      257
Electron-beam-induced instability, FW      254 261
Electron-hole (e-h) plasma      234
Electron-hole (e-h) plasma, instability      234 347
Electron-neutral impurity scattering      91
Electronic, chaos circuits      526
Electronic, devices and chaos      522
Electronic, turbulence      8 23 27 216 425
Elementary catastrophe      138 140
Embedded, dimension      314 322
Embedded, method      309 313
Energy, balance equation      72 103 107
Energy, conservation      96
Energy, dissipation      23
Energy, gain      68
Energy, loss      72
Energy, loss, rate      38 68
Energy, relaxation time      38 72 103
entropy      10
Entropy, density      114 210—211
Entropy, production      112

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