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Chaos - James Gleick [165]

By Root 886 0
attractors

automobiles, 246

averages, 12, 168–69

B


Barnsley, Michael, 215–16, 220–21, 226, 236–39

baseball, 67

Bateson, Gregory, 243

bees, 316–17

Belgium, 132

bell–shaped curve, see normal distribution

Beluzov–Zhabotinsky reaction, 287

Bergé, Pierre, 127

bifurcation, 71, 73, 74–75, 76, 78, 128, 173, 204–5, 211, 215, 223, 265, 305

in physiology, 281–82, 291

see also period–doubling; intermittency; quasiperiodicity

biological clock, see circadian rhythms

biology, 198–200, 230, 239, 299, 314

mathematics in, 76, 198–201, 278, 282

models in, 60

theoretical, 79, 292

see also physiology

Birkhoff, George D., 182, 329

Birkhoff’s bagel, 254

Blake, William, 115

blood vessels, 4, 108–9, 122

Bohr, Niels, 7

boundaries, 114, 165, 198, 218–19, 220, 227, 232–33

in snowflake formation, 309

Bourbaki, 88–90

brain, 3, 7, 163–64, 239, 298–99, 307

Bremen (West Germany), University of, 229

Brookhaven National Laboratory, 306

Brown, Norman O., 243

Burke, William, 244–45, 262, 267

Butterfly Effect, 8, 20–23, 246–47, 261, 328, 329

C


calculators, 69, 79, 170–71

calculus, see equations, differential California Institute of Technology, 243

California, University of

at Berkeley, 4, 45, 52, 247, 272

at Santa Cruz, 37, 52, 229, 243–245, 248–49, 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, 332

Casati, Giulio, 184

causality, 201

Cayley, Arthur, 218

Central Intelligence Agency, 4, 249

chaos, 3–5, 260, 319–24

in astronomy, 4–5, 14, 53–56, 144, 244, 245, 314

in biology, 230, 239

chemical, 287, 317

in climate, 271, 307

as creative process, 43

in dripping faucet, 262–66, 269

in earth’s magnetic field, 29

in ecology, 64, 315–17

in economics, 307

in experiments, 68

formal definitions, 306

in galactic orbits, 147

government financing of, 4

as health, 298

in human heart, 288–90

and Ice Ages, 170

interdisciplinary character of, 5

on Jupiter, 53

language of, 4

named, 69

nondissipative, 144, 252

onset of, 170, 174–75, 194

and perception, 164

resistance to ideas of, 31, 37–38, 106, 131, 139, 180, 303–6

as revolution, 6, 37

sensitive dependence on initial conditions in, 8, 23, 44, 52, 67–68, 152, 230, 246–47, 253, 311

in shapes, 195–202

and stability, 48, 55

teaching of, 244

see also strange attractors; disorder; aperiodicity

chaos game, 236–39, 238

chaotic attractors, see strange attractors

Chicago, University of, 307

China, 306

chromosomes, 5

circadian rhythms, 285–86, 288

City College of New York, 128, 131, 150, 159

climate, 168–70, 271, 307

White Earth equilibrium, 170

clouds, 2–3, 7, 11–12, 18, 26, 107, 157, 185–86

clustering, 91

coastlines, 94–96, 95, 105, 161, 237

cocaine, 283

Cohen, I. Bernard, 111

Cohen, Richard J., 290

color, 164–65

Columbia University, 244, 323

Comet Halley, 14–15

Communications in Mathematical Physics, 216

complex numbers, 215–20, 222–23, 226–32, 240

computers, 1, 7, 18, 209–10, 217, 227

analog, 244–47, 264, 267

and “artifacts,” 222

at Los Alamos, 178

attitudes toward, 13

and economics, 85

Cray, 7, 19

experimentation on, 230–31

graphics, 4, 15, 30, 38, 55, 71, 77, 114, 150, 178, 222–23, 226–40, 255, 269, 283

and heart rhythms, 289

and iterative fractals, 102

interactive use of, 38, 178–79

in laboratory experiments, 131, 289

personal, 7, 110–11, 114, 144, 146, 150, 231

Royal McBee, 11–12, 15–16, 19

simulating nonlinear systems, 44, 185, 209–10

supercomputers, 1, 7, 19, 123, 137

Systron–Donner, 244–7, 264, 267

Von Neumann and, 18

weather modeling on, 11–12, 14–15, 19, 21, 168–70

Control Data Corporation, 19

convection, 24–26, 25, 47, 128, 135, 139–41, 192–95, 202–6, 208–211, 314

Cornell University, 54, 158–59, 229, 285, 306

Corsica, 215

Couette–Taylor flow, 128–31, 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., 248–51, 259, 264, 267, 270, 272, 306

cryptology, 256

Cvitanović, Predrag,

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