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Holden A.V. — Chaos
Holden A.V. — Chaos

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Название: Chaos

Автор: Holden A.V.

Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 332

Добавлена в каталог: 29.03.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Action potential      239 257
Adaptability of biological systems      5 9
Adaptability theory      4 7
Alternating periodicity and chaos      233
Area-preserving maps      79
Arnold diffusion      309
Arnold horn/tongue      58 66 69 70 71 74 167 241 242 243
Arnold's cat map      84 86
Attractor      16
Attractor closed curve      16
Attractor fixed point      16 197
Attractor sink      16
Attractor strange      12 15 19 26 58 59 72 85 88 90 91 95 112 122 124—127 158—159 197 198 212 278 286 291 293
Attractor, Brouwer      90
Attractor, reconstruction of      17 168 286
Attractor, San Marco      78
Basin of attraction      28 239 261 293 294
Belousov-Zhabotinskii reaction      159 168 187 188 234
Bifurcation      41
Bifurcation diagram      224
Bifurcation flip      41 43 44 61
Bifurcation fold      42 68
Bifurcation map/diagram      46
Bifurcation of circle maps      238 241
Bifurcation of fixed points      16 41—42
Bifurcation period doubling      21 44 188 193 229 253
Bifurcation pitchfork      229
Bifurcation point      7 275
Bifurcation reverse      22
Bifurcation saddle-node      257
Bifurcation tangent      229 243 246
Bifurcation transcritical      41 61 74
Bifurcation, heteroclinic      112
Bifurcation, Homoclinic      112 130
Bifurcation, Hopf      58 61 62 63 66 68 69 74 75 113 185 193 212 215 226 257 258
Binary representation      53 54
Binary shift register      277
Bistability      144 244
Bits (of information)      276 277
Boettcher function      49 79
Brownian motion      8 292
Brusselator      31 213 224 232 261
Calcium-cyclic AMP system      179 180 183 185
Cantor function      241
Cantor set      19 59 72 78 87 88 89 121 223 224 299
Cardiac arrhythmia      197 238 253
Cardiac dysrhythmia      234
Cardiac fibrillation      252
Cardiac rhythm      237
Cellular automaton      316
Central nervous system      6
Centre      see “fixed point”
Chemical kinetics      3 25
Coarse graining      291 309
Coherence      138
Compartments      6 7
Complex maps      77—79
Complex plane      43 58 77
Computer      46
Conservative system      281
Contraction mapping theorem      185
Control theory      99 180 187
Convection      112
Correlation exponent      303
Correlation integral      107
Correlation spectrum      232
Crisis in adaptability theory      6
Delay-differential equations      160—161
Devil's staircase      167
Dimension correlation      201
Dimension fractal      19 78 107 129 159 170 174 175 180 281 287 289 293
Dimension information      292 296
Dimension, Hausdorf      170 175 293
Dissipative structure      257
DNA, parasitic      12
Doppler of attractor      194 196
Doppler shift      139
Douady's rabbit      79
Duffing's equation      28
Dynamical disease      196
Dynamo, disk      20
Ecosystem dynamics      11
Entrapment      11 188 215 226
Entropies of adaptability theory      5 6
Entropies, Hausdorf      201
Entropies, Kolmogorov — Sinai (or metric)      231 292 294 296 309
Entropies, Renyi      295 304
Enzyme activation      182
Enzyme allosteric      188
Epileptic seizure      180
Ergodic systems      56 86 230
Evolution      4 5 6 11
Excitable (membrane)      10
Excitable media      238 252
Faraday effect      141
Farey series      167 245 260
Feedback system      99 101 104 105 108 182 183 192
Feigenbaum constant      44 51 72 150 226 229
Fixed point      59
Fixed point attractor      see “attractor”
Fixed point centre      60
Fixed point elliptic      82
Fixed point focus      60
Fixed point multiplier      47 59
Fixed point node      59 211 212
Fixed point of map      40
Fixed point saddle      60 61
Fixed point star node      61
Fixed point, hyperbolic      82 88
Focus      see “fixed point”
Folding      see “stretching and folding”
Forced oscillators      28—33 165 211—235
Fourier spectrum      188 289
Fourier transform      211 232
Fractal basin boundary      167
Fractal dimension      see “dimension”
Gaussian distribution      172 175
Genetic variability      8 9
Glycolysis      33 180 181 183 188 234
Golden ratio      84
Goodwin equations      184
Gram — Schmidt reorthonormalisation (GSR)      283—286
H-Theorem      13
Hamiltonian      79 136 309 316
Harmonic balance      107
Heisenberg equation of motion      137
Henon attractor      282 284 285 287 288 299 303 308
Heteroclinic hierarchy      6
Heteroclinic orbits      114
Hodgkin — Huxley equations      194 257—266
Homeostasis      179
Homoclinic orbits      113—124 127 131
Homoclinic point      58 83 88
Homoclinic tangency      223
Hopf bifurcation      see “bifurcation”
Hopf bifurcation circle      67 68 70 72
Hopf bifurcation radius      67 68 71
Host-parasitoid model      58 75
Hyperchaos      26 319
Immune system      4 6 8 9 10
Infectious diseases      165
information      292
Information flow      305
Intermittency      111 129 153 188 243 246 264 266
Invariant curve      61
Invariant distribution      52 54 85
Invariant measure      56 85 230 231
Island      83 226 261
Isochron      239
Josephson junction      107
Julia set      58 78 79
KAM curve      84
Kam theorem      81 84
Khinchin axioms      300 303
Kneading      222 226
Kolmogorov entropy      194
Kolmogorov exponent      194
Laser, homogeneously broadened single mode      135 141—144
Laser, inhomogeneously broadened      135 136 152—155
Legesgue measure      53
Light-atom interactions semiclassical approximation      135 136—140
Limit cycle      16 32 212 239
Lipschitz norm      104
Logistic map      43—45 54 159 162 274
Logistic-delay equation (two dimensional)      62 65
Logistic-delay equation differential-delay      160
Loop delay      186
Lorenz system      19 21 111—132 141 142 143 152 160 161 234 278 279 281 287 288 303 308 309
Lotka — Volterra equations      161
Low frequency noise      144
Lyapunov exponent      18 26 52 56 86 87 107 167 194 195 201 273—289 295 297 304 308
Lyapunov number      230 231 266
Lyapunov spectrum      277—289
Manifold, fast      221 228
Manifold, intersection of      58
Manifold, invariant      59
Manifold, slow      220 221 228
Manifold, stable      58 61 62
Manifold, unstable      58 59 61 62 71 83 88 89 230
Map, non-invertible      148 161 219
Map, one-dimensional      126 128 143 159 161 172 188 219 228 242 274 285
Map, return      118 124 125 128 162 188
Map, two parameter circle      240 243 252
Maser      141
Maxwell equation      138 141
Maxwell — Bloch equations      112 138 139 140 145 146
Membrane excitability      10
Mobius band      21
Modifiabilities      6 7
Monte Carlo methods      55 85
Multiplier      40 41 47 63 81
Natural selection      4
Neurone dynamics      3 4 180 190 257—267
Node      see “fixed point”
Noise      171
Noisy periodicity      129
Normal form      63 66 67 70
Nyquist locus      184 185 186
Nyquist stability theorem      184
Optical bistability      135 141 145 146
Optical chaos      135
Optical resonator      139
Optimization      108
Oscillator negative resistance      30
Oscillator, glycolytic      33
Parametrisiation of orbit      46—48
Period doubling      21 26 44 49—52 145 146 148 150 153 161 167 171 226 243 247—249 264
Period doubling universality      50
Period-3 solution      188
Periodic orbit      122 123 128 131 275
Periodic point      40
Perron — Frobenious equation      53 55 85
Phase      239
phase diagram      224
Phase transition curve      239 240 241 242 243 244 249
Phase, locking      240 241 244 245
Poincaire equation      47 62
Poincaire function      47 49
Poincaire map      81 239 240 244
Poincaire section      162 170 215 218 289
Polarisation      138
Population dynamics      3 10 39 58 71 234
Prandtl number      19
Predator-prey model      58 74 100 158 159 161 167
probability density      275
Pulse-Width Modulation      102 104
Quadratic mappings      see also “logistic map”
Quadratic mappings, one dimensional      39
Quadratic mappings, two dimensional      39 58
Quantum operator      137
Quantum turbulence      155
Quasi-periodirity      158 165 167 215 216 226 240 243 249 260 264 266
Rabi frequency      137 139 141
Random      3 4
Rayleigh number      19
Relaxation oscillation      220
Renormalisation      51 226
Renyi informations      300 302 303
Repeller, snap-back      102
Resonance      64 66 70 71 166 167 213 214
Resonator (optical) Fabry — Perot      141
Resonator (optical) unidirectional ring cavity      139 140
Resonator (optical), passive      135
Reynold's number      288
Rossler 3-D system      21—24 105 160 161 165
Rossler hyperchaos      26 288
Rotation number      82 84 240 241 242 245 260
Round-off      46
Routes to chaos      243 244
Ruelle — Takens route      150 153
Saddle      see “fixed point”
Seizure      199 201
Self-similar      83 87 90
Sensitivity to initial conditions      18 122 159 212 218 237 273 291
Shannon information      302
Smale's axiom A      112
Smale's horseshoe      88 123 159 212 213 219 223 224
Spectral analysis      107
Standard map      81
Strange attractor:      see “attractor”
Strange invariant set      122 124
Stretching      275
Stretching and folding      3 18 119 125 168 171 223 277 316
Stroboscopic portrait      30 219 220 258
Stroboscopic transfer function      188 288—289
Structural stability      7 13 218
Symbolic dynamics      121 123
Taylor — Couctte flow      168 288 293
Tent map      53
Transition scheme      5 7 8
Tremor      197 199
Twist map      81
Two-level atom      137
Two-symbol shift      88
Uncertainty      5 7
Universality      50 150 155 229 242 243
van der Pol oscillator      107 212 213 216 238 239
Variability genetic      8 9
Window      45 164 229 233 276
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