Chaos - James Gleick [166]
cycles, 73, 171
in ecology, 59, 73, 75, 78, 171
in economics, 68
cyclones, 12
D
Dartmouth College, 13
Darwin, Charles, 111, 201
dendrites, 309, 311–14, 312
determinism, 5, 12, 14, 237, 250–51
differential equations, see equations
dimension, 47, 96–98
in phase space, 135
infinite, 135, 208
measuring, 262, 271
see also fractal
discontinuity, 92–94, 114
in phase transitions, 127
in price changes, 93
disease, 292
disorder, 3, 7, 15, 30, 56, 68, 266, 308
measuring, 257
dissipation, 42–43, 144, 182, 209, 314
as agent of order, 209, 314
attractors and, 138
in convection, 24–25, 204
in phase space, 50–51, 134
in turbulence, 122–23, 138, 201
DNA (deoxyribonucleic acid), 110, 181, 201, 299
Douady, Adrien, 221–22, 227–28, 240
drugs, in psychiatry, 298–99
Duffing equation, 304–5
Duke University Medical Center, 289
Dynamical Systems Collective, 248–272
dynamical systems, 4, 24, 42, 52, 66, 118, 132, 134, 144, 169, 227, 252
Poincaré on, 46
Smale on, 45
dripping faucet as, 262–66, 269
in ecology, 59
dynamo, 29
Dyson, Freeman, 37, 73, 130, 161
E
earth, magnetic field of, 29
earthquakes, 103–4, 107
eclipses, 14, 18
École Normale Supérieure, 87–88, 90, 191
École Polytechnique, 87–88, 191 ecology, 4, 59, 61–63, 69, 77–79, 166, 315–17
cycles in, 73
equilibrium in, 64, 70, 73, 79
models in, 69
economics, 4, 20, 83, 92–93, 271
cotton prices, 83–84
cycles in, 68
eddies, 12, 20, 122–23, 198
Eiffel Tower, 100
Eilenberger, Gert, 117
Einstein, Albert, 7, 14, 52, 111, 181, 245, 314, 324
electricity, 36, 234–35
Energy, Department of (United States), 4, 249
Enola Gay, 2
entropy, 7, 257–58, 261–62, 268, 271, 306, 308
epidemics, 22, 61, 78
equations, 20, 168
difference, 61, 149, 208
differential, 12, 17, 44, 46, 61, 67, 187, 195, 208, 264
Duffing, 304–5
fluid, 24, 133
and global behavior, 174–75
learning to solve, 67, 250–51
logistic, 166–68, 170–72, 174–75
Lorenz system, 23–25, 47, 60, 116, 135, 139–41, 245–17, 329–30
as metaphors, 77
Navier–Stokes, 24
Newton’s method for solving, 217–220, 220
polynomial, 216–20
and real systems, 60, 263
equilibrium, 43, 60–64, 79
in climate, 169–70
in ecology, 64, 70, 315–17
in pattern formation, 309–14
in physiology, 298
see also attractors
errors, 8, 15–17, 21, 193, 256, 261
in communications, 91–92
in weather forecasting, 21
Euclid, 46, 94, 97, 226
European Centre for Medium Range Weather Forecasts, 19–20
evolution, 5, 109, 116, 201, 251, 261, 314, 346
experimentation, 41, 125, 192–95, 202–6, 208–11, 263
Couette–Taylor flow, 128–31, 129
erratic behavior in, 68
numerical, 70, 112, 167, 178–79, 209–10
vs. theory, 125–26
Exxon Corporation, 114
F
Farmer, J., Doyne, 248–52, 258–59, 266, 268, 270–72, 303
Fatou, Pierre, 221, 226–27
Faust (Goethe), 163
feedback, 61, 167–68, 193, 223, 226, 279, 292, 314
Feigenbaum, Mitchell J., 1–4, 157–87, 194, 197, 206–10, 215, 268–69, 303, 305, 307, 314, 321
and art, 186
and childhood, 159
and color theory, 164–66
discovery of universality, 172–74, 206
and Libchaber, 208–9
and mathematical proof, 183
–ology, 182
and perception, 163
rejection letters, 180
theory for onset of chaos, 175–79
Feigenbaum numbers, 175, 183, 209, 211, 215–16, 223, 290
Fermi, Enrico, 68, 333
ferns, 198, 238
Feynman diagrams, 162
Feynman, Richard P., 137, 161, 324
fibrillation, see heart, arrhythmia in Fields Medal, 45–46
fireflies, 293
Fisher, Michael, 160
flames, 196
flow, 197–98, 199, 296–97
fluid dynamics, 38, 121–22, 131, 245
fluids, 2, 7, 22, 196, 296–97
experiments in, 122, 124–28, 130–131, 152, 192–95, 202–6, 208–11
Ford, Joseph, 6, 38, 184, 252, 304–6, 314, 321
forecasting, 13–14, 17, 55
economic, 15, 20
optimism about, 18
tides and eclipses, 18
Foucault, Jean Bernard Léon, 40
Fowles, John, 117
Fox, Ronald, 305
fractal basin boundaries, 43, 233–36, 235, 299
fractals, 4, 98, 110, 161–62, 215, 310, 316, 322
attractors as, 139, 140, 152
blood vessels as, 108, 293
in cinematic effects, 114
computer programs for, 110–11, 114
as “dusts,” 228
earthquakes as,