|
|
Àâòîðèçàöèÿ |
|
|
Ïîèñê ïî óêàçàòåëÿì |
|
|
|
|
|
|
|
|
|
|
Gleick J. — Chaos. Making a new science |
|
|
Ïðåäìåòíûé óêàçàòåëü |
Abraham, Ralph 52—53 247 267 279
Accelerators 7 115 271
Agnew, Harold 2
Ahlers, Gunter 127 314
Air Force (United States) 249
Air resistance 41—42
Albers, Josef 116 229
American Mathematical Monthly 69
Aperiodicity 12 15 246
Aperiodicity, and life 299—300
Aperiodicity, and unpredictability 22
Apple Computer 7 305
Approximation 15 210
Archimedes 21 39
Architecture 116—117 229
Aristotle 40—42
Arizona, University of 317
Army (United States) 13
Arnold, V. I. 182
ART 94 116—117 186—187 222 229
Asteroids 14 314
AT&T Bell Laboratories 127 208 255
Atlantic Ocean 55
Atmosphere 3 11 170
Atmosphere, chaos in 17
Atomic bomb 2 7 122
Attractors 237 246 269
Attractors, basins of 43 233—236 299
Attractors, fixed-point (steady state) 64 134 227 233 237 253 255
Attractors, limit cycles (oscillating) 73 134 227 253 255
Attractors, stability of 150
Automobiles 246
Averages 12 168—169
Barnsley, Michael 215—216 220—221 226 236—239
BASEBALL 67
Bateson, Gregory 243
Bees 316—317
Belgium 132
Bell-shaped curve see “Normal distribution”
Beluzov — Zhabotinsky reaction 287
Berge, Pierre 127
Bifurcation 71 73 74—75 78 128 173 204—205 215 265
Bifurcation, in physiology 281—282 291 “Intermittency” “Quasiperiodicity”)
Biological clock see “Circadian rhythms”
biology 198—200 230 239 299 314
Biology, mathematics in 76 198—201 278 282
Biology, models in 60
Biology, theoretical 79 292
Birkhoff, George D. 182 322
Birkhoff’s bagel 254
Blake, William 115
Blood vessels 4 108—109 122
Bohr, Niels 7
Boundaries 114 165 218—219 220 227 232—233
Boundaries, in snowflake formation 309
Bourbaki 88—90
Brain 3 7 163—164 239 298—299 307
Bremen (West Germany), University of 229
Brookhaven National Laboratory 306
Brown, Norman O. 243
Burke, William 244—245 267
Butterfly effect 8 20—23 246—247 261 322
Calculators 69 79 170—171
Calculus see “Equations differential”
California Institute of Technology 243
California, University of, at Berkeley 4 45 247 272
California, University of, at Santa Cruz 37 52 229 243—245 264 267 269 271—272
Cambridge University 6
Cantor set 92—94 93 99
Cantor, Georg 92 111 118
Carruthers, Peter 158 160
Cartwright, Mary Lucy 325
Casati, Giulio 184
Causality 201
Cayley, Lord Arthur 218
Central Intelligence Agency 4 249
Chaos 3—5
Chaos game 236—239 238
Chaos, and Ice Ages 170
Chaos, and perception 164
Chaos, and stability 48 55
Chaos, as creative process 43
Chaos, as health 298
Chaos, as revolution 6 37
Chaos, chemical 287 317
Chaos, formal definitions 306
Chaos, government financing of 4
Chaos, in astronomy 4—5 53—56 144 244 245
Chaos, in biology 230 239
Chaos, in climate 271 307
Chaos, in dripping faucet 262—266 269
Chaos, in earth’s magnetic field 29
Chaos, in ecology 64 315—317
Chaos, in economics 307
Chaos, in experiments 68
Chaos, in galactic orbits 147
Chaos, in human heart 288—290
Chaos, in shapes 195—202
Chaos, interdisciplinary character of 5
Chaos, language of 4
Chaos, named 69
Chaos, nondissipative 144 252
Chaos, on Jupiter 53
Chaos, onset of 170 174—175
Chaos, resistance to ideas of 31 37—38 106 131 139 180 303—306
Chaos, sensitive dependence on initial conditions in 8 23 44 52 67—68 152 230 246—247 253 311
Chaos, teaching of 244 (see also “Strange attractors” “Disorder” “Aperiodicity”)
Chaotic attractors see “Strange factors”
Chicago, University of 307
China 306
Chromosomes 5
Circadian rhythms 285—286 288
City College of New York 128 131 150 159
Climate 168—170 271 307
Climate, White Earth equilibrium 170
Clouds 2—3 7 11—12 18 26 107 157 185—186
Clustering 91
Coastlines 94—96 95 237
Cocaine 283
Cohen, I. Bernard 111
Cohen, Richard J. 290
COLOR 164—165
Columbia University 244
Comet Halley 14—15
Communications in Mathematical Physics 216
complex numbers 215—220 222—223 226—232 240
Computers 1 7 18 209—210 217 227
Computers, analog 244—247 264 267
Computers, and economics 85
Computers, and heart rhythms 289
Computers, and iterative fractals 102
Computers, and “artifacts” 222
Computers, at Los Alamos 178
Computers, attitudes toward 13
Computers, Cray 7 19
Computers, experimentation on 230—231
Computers, graphics 4 15 38 55 77 114 150 178 222—223 226—240 255 283
Computers, in laboratory experiments 131 289
Computers, interactive use of 38 178—179
Computers, personal 7 110—111 114 144 146 150 221
Computers, Royal M Bee 11—12 15—16 19
Computers, simulating nonlinear systems 44 185
Computers, supercomputers 1 7 19 123 137
Computers, Systron — Donner 244—247 264 267
Computers, Von Neumann and 18
Computers, weather modeling on 11—12 14—15 21 168—170
Control Data Corporation 19
Convection 24—26 25 128 135 192—195 208—211 314
Cornell University 54 158—159 229 285
Corsica 215
| Couette — Taylor flow 128—131 129 194 203
Courant Institute of Mathematical Sciences (New York University) 77 283
Cousteau, Jacques Y. 197
Creti, Donati 53
Crisis 23
Crutchfield, James P. 248—251 259 264 267 270 272 306
Cryptology 256
Cvitanovid, Predrag 183
Cycles 73 171
Cycles, in ecology 59 73 75 171
Cycles, in economics 68
Cyclones 12
Dartmouth College 13
Darwin, Charles 111 201
Dendrites 309 311—314 312
Determinism 5 14 237 250—251
Differential equations see “Equations”
DIMENSION 47 96—98
Dimension, in phase space 135
Dimension, infinite 135
Dimension, measuring 262 271
Discontinuity 92—94 114
Discontinuity, in phase transitions 127
Discontinuity, in price changes 93
Disease 292
Disorder 3 7 15 56 68 266 308
Disorder, measuring 257
Dissipation 42—43 144 182 209 314
Dissipation, as agent of order 209 314
Dissipation, attractors and 138
Dissipation, in convection 24—25
Dissipation, in phase space 50—51 134
Dissipation, in turbulence 122—123 138 201
DNA (deoxyribonucleic acid) 110 181 201 299
Douady, Adrien 221—222 227—228 240
Drugs, in psychiatry 298—299
Duffing equation 304—305
Duke University Medical Center 289
Dynamical systems 4 24 42 52 66 118 132 134 144 169 227 252
Dynamical Systems Collective 248—272
Dynamical systems, dripping faucet as 262—266 269
Dynamical systems, in ecology 59
Dynamical systems, Poincare on 46
Dynamical systems, Smale on 45
Dynamo 29
Dyson, Freeman 37 73 130 161
Earth, magnetic field of 29
Earthquakes 103—104 107
Eclipses 14 18
Ecole Normale Superieure 87—88 90 191
Ecole Polytechnique 87—88 191
Ecology 4 59 61—63 69 77—79 166 315—317
Ecology, cycles in 73
Ecology, equilibrium in 64 70 73 79
Ecology, models in 69
Economics 4 20 83 92—93 271
Economics, cotton prices 83—84
Economics, cycles in 68
Eddies 12 20 122—123 198
Eiffel Tower 100
Eilenberger, Gert 117
Einstein, Albert 7 14 52 111 181 245
electricity 36 234—235
Energy, Department of (United States) 4 249
Enola Gay 2
entropy 7 257—258 261—262 268 271 306 308
Epidemics 22 61 78
Equations 20 168
Equations, and global behavior 174—175
Equations, and real systems 60 263
Equations, as metaphors 77
Equations, difference 61 149 208
Equations, differential 12 17 44 46 61 67 187 195 264
Equations, Duffing 304—305
Equations, fluid 24 133
Equations, learning to solve 67 250—251
Equations, logistic 166—168 170—172 174—175
Equations, Lorenz system 23—25 60 116 135 245—247 322—323
Equations, Navier — Stokes 24
Equations, Newton’s method for solving 217—220 220
Equations, polynomial 216—220
Equilibrium 43 60—64 79
Equilibrium, in climate 169—170
Equilibrium, in ecology 64 70 315—317
Equilibrium, in pattern formation 309—314
Equilibrium, in physiology 298 (see also “Attractors”)
Errors 8 15—17 21 193 256 261
Errors, in communications 91—92
Errors, in weather forecasting 21
Euclid 46 94 97 226
European Centre for Medium Range Weather Forecasts 19—20
Evolution 5 116 201 251 261 314 339—340
Experimentation 41 125 208—211 263
Experimentation, Couette — Taylor flow 128—131 129
Experimentation, erratic behavior in 68
Experimentation, numerical 70 112 167 178—179 209—210
Experimentation, vs. theory 125—126
Exxon Corporation 114
Farmer, J., Doyne 248—252 258—259 266 268 270—272 303
Fatou, Pierre 221 226—227
Faust (Goethe) 163
Feedback 61 167—168 193 223 226 279 292 314
Feigenbaum numbers 175 209 211 215—216 223 290
Feigenbaum, Mitchell J. 1—4 157—187 194 197 206—210 215 303 305 314
Feigenbaum, Mitchell J., and art 186
Feigenbaum, Mitchell J., and childhood 159
Feigenbaum, Mitchell J., and color theory 164—166
Feigenbaum, Mitchell J., and Libchaber 208—209
Feigenbaum, Mitchell J., and mathematical proof 183
Feigenbaum, Mitchell J., and perception 163
Feigenbaum, Mitchell J., discovery of universality 172—174 206
Feigenbaum, Mitchell J., rejection letters 180
Feigenbaum, Mitchell J., theory for onset of chaos 175—179
Feigenbaumology 182
Fermi, Enrico 68 326
Ferns 198 238
Feynman diagrams 162
Feynman, Richard P. 137 161
Fibrillation see “Heart arrhythmia
Fields medal 45—46
Fireflies 293
Fisher, Michael 160
Flames 196
Flow 197—198 199 296—297
Fluid dynamics 38 121—122 131 245
Fluids 2 7 22 196 296—297
Fluids, experiments in 122 124—128 130—131 152 192—195 208—211
Ford, Joseph 6 38 184 252 304—306 314
Forecasting 13—14 17 55
Forecasting, economic 15
Forecasting, optimism about 18
Forecasting, tides and eclipses 18
Foucault, Jean Bernard Leon 40
Fowles, John 117
Fox, Ronald 305
Fractal basin boundaries 43 233—236 235
Fractals 4 98 110 161—162 215 316
Fractals, as shapes 118 219 221 227 236 237
Fractals, as “dusts” 228
Fractals, as “monstrosities” 102
Fractals, attractors as 139 140 152
Fractals, blood vessels as 108 293
Fractals, computer programs for 110—111 114
Fractals, dimension of 102 106—107 162 247 271
Fractals, earthquakes as 103—104
Fractals, goose down as 110
Fractals, in cinematic effects 114
Fractals, in pattern formation 310 311 insert
Fractals, in physiology 109 293
Fractals, in turbulence 123 162
|
|
|
Ðåêëàìà |
|
|
|