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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Gleick J. — Chaos. Making a new science |
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Ïðåäìåòíûé óêàçàòåëü |
Fractals, in wildness 117 (see also “Mandelbrot set” “Strange
Fractals, Koch curve 98—100 99 102—103 237
Fractals, Menger sponge 101
Fractals, Sierpinski carpet and gasket 100 101 237
France 88 90 127 144 191 197 217 258
Franceschini, Valter 209
Franklin, Benjamin 36
Free will 5
Frequency spectrum 205—206 206 207
Friction 24—25 50 63 122 134 144 204 209
Functions, iteration of 61—64 69—71 73 167—168 170—172 174—175 222
Gaia hypothesis 279 307
Galaxies 7 114 116
Galaxies, modeling, on computers 146
Galileo 39—42 53
Geli-Mann, Murray 66 126
General Electric Corporation 114
Geodynamo see “Earth magnetic
Geometry, classical vs. fractal 94 226 238
Geometry, dimension in 97
Geometry, of surfaces 104—106
Georgia Institute of Technology 38 216 252 304
Germany 191 229
Giglio, Marzio 127
Glass, Leon 281 290—291
Global Atmosphere Research Program 18
God 8 12 121 168 185 314
Goethe, Johann Wolfgang von, color theory of 163—165
Goethe, Johann Wolfgang von, on plants 197
Goldberger, Ary L. 281—282 293
Gollub, Jerry P. 127—128 150 152 194 209
Gonorrhea 65
Gould, Stephen Jay 200
Gout 277
Grand Unified Theory of 7
Grand Unified Theory of, and turbulence 121—125 137
Grand Unified Theory of, laws of 6 12 14
Grand Unified Theory of, mentors and prot6g6s in 244 249
Grand Unified Theory of, Newtonian 6
Grand Unified Theory of, particle 6—7 115
Grand Unified Theory of, radios vs. chemistry sets 132
Grand Unified Theory of, reductionism in 185
Grand Unified Theory of, teaching of 42 56 67—68 244 250
Grand Unified Theory of, without chaos 67
Gravity 15
Guckenheimer, John 182
Guevara, Michael 290—291
Gulf Stream 55
Gypsy moths 4 61 171
Halley, Edmond 14—15
Hao Bai-Lin 306
Harvard University 69 83 164 222—223 243—244 290
Harvard University, Medical School 281 293
Haverford College 128
Hawking, Stephen 6—7
Hawking, Stephen, “Is the End in Sight for Theoretical Physics?” 6
Heart 3—4 8 109 280—283
Heart, arrhythmia in 281 283—284 288—289 291
Heart, defibrillating devices for 284 289 292
Heart, valves 122 282—283
Heiles, Carl 147
Heisenberg 14 121
Henon attractor see “Strange attractors”
Henon, Michel 44 144—149 303
Henon, Michel, on galactic orbits 146—147 148
Hiroshima 2
Hohenberg, Pierre 208 314
Holmes, Philip 306
Hooke, Robert 53
Hoppensteadt, Frank 77
Horseshoe see “Smale”
Houthakker, Hendrik 83—84
Hubbard, John 217—219 226—229 240 306
Huberman, Bernardo 269—270 275—278 307
Hudson’s Bay Company 79
Huygens, Christian 40 292
Ice ages 170
Ideker, Raymond E. 288—289
imaginary numbers see “Complex numbers”
Immune system 263 272 280 314
information 222 239 255—257 261 293
Information theory 255—262 268
Information, creation of 258 260—262
Insects 4 61 171 285—286
Insomnia 286 298
Instability 18 169 198 299
Instability, in pattern formation 309
Institut des Hautes Etudes Scienti-fiques 132 134
Institute for Advanced Study 14 37 69 132 272
Institute for Physical Science and Technology (University of Maryland) 65
Intelligence 5
Intermittency 209 290
International Business Machines Corporation 83—84 86—87 90 222—223 249
International Congress of Mathematicians 45—46 139
Italy 127 209
Iteration see “Feedback” “Functions”
Jacot, Louis 258
Jellyfish 199 200
Jensen, Roderick V. 306
Jet lag 286
Johns Hopkins University 126 285
Josephson junctions 42 271
Journal of Atmospheric Sciences 31
Journal of the Institute of Water Engineers 197
Julia sets 216 221—222 222 228—229 236—237
Julia, Gaston 216 221 226—227
Jupiter 53—56 insert
Kac, Mark 183—184
Kadanoff, Leo 160—161 329
Koch curve 98—100 99 102—103 237 insert
Koch, Helge von 99 118
Kolmogorov, A. N. 76 123 182 261
Kuhn, Thomas S. 35—39 262 315
Kuhn, Thomas S., concept of paradigms 37 39 42 52 107 269
Kuhn, Thomas S., problem-solving vs. scientific revolutions 36—37
Lamont — Doherty Geophysical Observatory (Columbia University) 103
Landau, Lev D. 123—124 130—132 137 152 194
Lanford, Oscar E. 183 268
Language 256
Laplace, Pierre Simon 14 144
Lasers 42 271 130—131
Leaves 196 202 238
Lehrer, Tom 243
Leibniz, Gottfried Wilhelm 115—116
Leontief, Wassily 84
Libchaber, Albert 191—197 202—211 314
Libchaber, Albert, conception of “flow” 195—202
Libchaber, Albert, life 7 198—202 251 279
Libchaber, Albert, light 164—165
Libchaber, Albert, lightning 4
Libchaber, Albert, measures period-doubling 205—206
Libchaber, Albert, “Helium in a Small Box” 192—195 202—206 208—211
Linguistics 90
Littlewood, J. E. 325
Logistic difference equation 63—64 69—70 79 166—168 170—172 174—175
Lorenz attractor 28 30 140 149 218 245—247 269 insert
Lorenz attractor, as music 244—245
Lorenz attractor, infinite complex of surfaces 139—141
Lorenz, Edward 11—31 44 48 52—53 55—56 65 71 76 116 135 144 149 168—169 182 194 244 246 253 259 264 303 314 316—317
Lorenz, Edward, and aperiodicity 22
Lorenz, Edward, and climate 168—169
Lorenz, Edward, and coffee cup 25
Lorenz, Edward, and mathematics 13
Lorenz, Edward, and weather modeling 15
Lorenz, Edward, Butterfly Effect 8 20—23 246—247 261
Lorenz, Edward, childhood 13
Lorenz, Edward, discovered by physicists 67
Lorenz, Edward, discovers sensitive dependence on initial conditions 16 17
Lorenz, Edward, waterwheel 27 29 31
Lorenz, Edward, “Deterministic Nonperiodic Flow” 30 66—67 139—141
| Los Alamos National Laboratory 1—4 157 160 178
Los Alamos National laboratory, Center for Nonlinear Studies 4
Los Alamos National laboratory, Theoretical Division 1 158 179 248 272
Lovelock, James E. 279 307 308
Lyapunov exponent 247 253 255 268 316
Lynx 79
Mac Arthur, Robert 315
Magellan, Ferdinand 226
Mahler, Gustav 163
Malkus, Willem 31
Malthusian growth 62—63
Mandelbrojt, Szolem 87 88
Mandelbrot set 221—232 224—225 306 inserts
Mandelbrot set, defined 227
Mandelbrot set, discovered 222—223 224—225
Mandelbrot set, programming 231—232
Mandelbrot, Benoit 4 83—118 161—162 182 191 216 219—221 223 226—228 237—238 240 303
Mandelbrot, Benoit, and biology 108—110
Mandelbrot, Benoit, and cotton prices 84—86
Mandelbrot, Benoit, and dimension 96—98
Mandelbrot, Benoit, and economics 83
Mandelbrot, Benoit, and fractal constructions 100
Mandelbrot, Benoit, and mathematicians 111 114
Mandelbrot, Benoit, and physicists 87
Mandelbrot, Benoit, and randomness 84
Mandelbrot, Benoit, and self-similarity 103
Mandelbrot, Benoit, childhood 87
Mandelbrot, Benoit, geometric intuition 88
Mandelbrot, Benoit, Merchant of Venice syndrome 108
Mandelbrot, Benoit, Noah and Joseph effects 92—94
Mandelbrot, Benoit, The Fractal Geometry of Nature 104 111—113
Mandelbrot, Benoit, “How Long Is the Coast of Britain?” 94—96
Mandell, Arnold 278 293 298—299
Marat, Jean-Paul 111
Marcus, Philip 54—56
Marcuse, Herbert 243
Margulis, Lynn 279
Maryland, University of 65
Massachusetts Institute of Technology 11 13 21 31 103 159 163 290
Mathematics, and hermeticism 89
Mathematics, and Mandelbrot 111
Mathematics, and numbers 178
Mathematics, and turbulence 121—125 137
Mathematics, complex analysis 227
Mathematics, experimentation in 38 112 218—219 229
Mathematics, in biology 60 69 198—200 282 290
Mathematics, rigor in 89 183 218 230—231
Mathematics, vs. physics 47 52 66 69 113 118 178
Maurer, Jean 192 203
Maxwell, James Clerk 181
May, Robert 4 69—80 135 171 172 182 208 259 303
May, Robert, and epidemiology 78
May, Robert, and period-doubling 70—71 172
May, Robert, “messianic” plea 79 245
McGill University 281 288 290
Measles 61 78—79 315
Medawar, Sir Peter 200
Menger sponge 101
Message to physicists 69 73
Meterology 3 11—13 21—22 55
Meterorites 29 314
Metropolis, Nicholas 167—168 173 182
Mines, George 288
Mixing 122 255
Mode locking 290 293 294—295
Models, approximation in 15
Models, borrowed from physics 60 282
Models, detail vs. generalization in 278—279
Models, for convection 25—26 29—30
Models, for earthquakes 107
Models, for ecology 59—63 69
Models, for epidemics 316
Models, for galactic orbits 146—147 149
Models, for heart motion 281—283
Models, for schizophrenia 276—278
Models, for weather 11—14 16—17 19—21 55
Models, in economics 20
Models, stability in 48
Models, “daisy world” 279
Morse code 258
Moscow University 46
Mosquitoes 285—286
Myrberg, P. J. 183 329
Mysticism 195
National Aeronautics and Space Administration 54
National Center for Atmospheric Research 250
National Institute of Mental Health 275
National Institutes of Health 275
National Meterological Center 19
National Oceanic and Atmospheric Administration 21
National Science Foundation 46 131 249 317
Nature 49 79—80 245
Navier — Stokes equation 24
Navy (United States) 249 275
Nazis 87 191
Neumann, John von 14 18—19 21
Neumann, John von, on nonlinearity in fluids 24
New York Academy of Sciences 258—259 269 275
New York City, public schools 159 (see also “City College of New York”)
New York University 77 283
Newton, Sir Isaac 12—13 15 41 55 144—145 217
Newton, Sir Isaac, and color 164—166
Newton’s method 217—220 220 227 insert
Nice Observatory 144 149
Nobel prize 3 7 160
Nobel Symposium 182
Noise see “Errors”
Nonlinear dynamics see “Chaos”
Nonlinearity 23—24 56 63 73 80 162 326
Nonlinearity, and problem-solving 153 162 166 250—251
Nonlinearity, as agent of stability 193—194
Nonlinearity, in dripping faucet 264
Nonlinearity, in fluid models 283
Nonlinearity, in pendulum 41—43
Nonlinearity, in schizophrenia 277
Nonlinearity, in textbooks 67 250—251
Nonlinearity, teaching of 42
Normal distribution 84
Office of Naval Research see “Navy”
Oppenheimer, J. Robert 1
oscillators see “Pendulums”
Oxford University 215
Packard, Norman 248—251 258—259 270 272
parabola 166—167 176
Paris Opera 117
Particle Physics 6—7 115
Patterns 5 196 261 308
Patterns, across scale 86
Patterns, formation of 272 308 310 314
Patterns, generated by fractal processes 236—239
Patterns, in biology 299
Patterns, in weather 12 15
Patterns, universality of 195
Peitgen, Heinz-Otto 229—231 236 240
Pendulums 39 41—44 49 60 169—170 174 234 292—293 315
Pendulums, and schizophrenia 276
Pendulums, Aristotle and Galileo on 40—42
Pendulums, double 230
Pendulums, in phase space 50 136—137
Pendulums, nonlinearity in 42—43
Pendulums, spherical 43
Pendulums, strange attractor of 143
Perception 163
Period-doubling 71 73 76 171—172 176—177 204 206 211 215
Period-doubling, found in experiment 204—206 207
Period-doubling, in heart cells 290
Period-doubling, in schizophrenia 276
Phase space 49—52 50 134—139 136—137 144 149 206 227 230 246 261 269 299
Phase space, folding in 51—52 149 253
Phase space, infinite dimensional 136—137 271
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