Chaos - James Gleick [169]
New York University, 77, 283. See also Courant Institute
Newton’s method, 217–20, 220, 227,
insert following page 114
Newton, Sir Isaac, 12–13, 15, 39, 41, 55, 118, 144–45, 164, 217, 324
and color, 164–66
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, 333
as agent of stability, 193–94
in dripping faucet, 264
in fluid models, 283
in pendulum, 41–43
and problem–solving, 153, 162, 166, 250–51
in schizophrenia, 277
teaching of, 42
in textbooks, 67, 250–51
normal distribution, 84
O
Office of Naval Research, see Navy
Oppenheimer, J. Robert, 1
oscillators, see pendulums
Oxford University, 215, 306, 321
P
Packard, Norman, 248–51, 258–59, 270, 272
parabola, 166–67, 176
Paris Opera, 117
particle physics, 6–7, 115, 125
patterns, 5, 43, 196, 261, 308
across scale, 86
in biology, 299
formation of, 272, 308, 310, 314
generated by fractal processes, 236–239
in weather, 12, 15, 22
universality of, 195, 197–202
Peitgen, Heinz–Otto, 229–31, 236, 240
pendulums, 39, 41–44, 49, 60, 169–170, 174, 234, 292–93, 315
Aristotle and Galileo on, 40–42
double, 230
nonlinearity in, 42–43
in phase space, 50, 136–37
and schizophrenia, 276
spherical, 43
strange attractor of, 143
perception, 163
period–doubling, 71, 73, 76, 171–72, 176–77, 204, 206, 211, 215, 265, 305
found in experiment, 204–6, 207
in heart cells, 290
in schizophrenia, 276
phase space, 49–52, 50, 134–39, 136–137, 144, 149, 206, 227, 230, 246, 261, 269, 299
folding in. 51–52, 149, 253
infinite dimensional, 136–37, 271
reconstruction of, 265–66, 316
phase transitions, 126–28, 160–61, 236, 298
physics, 3, 6
of beer glasses, 245
condensed matter, 126
experiment vs. theory, 125–26
and God, 8, 12, 121, 185
Grand Unified Theory of, 7
laws of, 6, 12, 14
mentors and protégés in, 244, 249
Newtonian, 6
and turbulence, 121–25, 130–33, 137
particle, 6–7, 115, 125
radios vs. chemistry sets, 132
reductionism in, 185
teaching of, 42, 56, 67–68, 244, 250
without chaos, 67
physiology, 272, 276
complexity in, 279–80
dynamical diseases, 292
eyes, 275–78
fractal approach to, 109, 293
lungs, 108–9
see also blood vessels; brain; heart; immune system
pinball, 233–34
planets, 14
Plato, 195, 202
Poincaré, Jules Henri, 46–47, 88, 123, 145, 166, 181, 264, 321–22
and many–body problem, 145
Poincaré conjecture, 46
Poincaré map, 142–44, 143, 146, 150, 290, 316
Pomeau, Yves, 149
population, see ecology
predictability, 7–8, 14, 18, 21, 253, 268
and aperiodicity, 22
Princeton University, 4, 69, 146, 285
proteins, 79, 298
Q
quadratic difference equation, see logistic difference equation
quantum chaos, 306, 314
quantum mechanics, 6–7, 118, 161. 184–85. 250, 314
quarks, 5
quasiperiodicity, 2, 209
R
rain, 18
randomness, 3, 5, 8, 21–22, 68, 73, 84, 122, 236–39, 251–52, 257, 261, 306
in biology, 206, 239
and complexity, 314
in constructing fractals, 236–39
debate over, in ecology, 77–78
and determinism, 250–52
hidden structure in, 22
and information theory, 252, 261
from simple models, 79
and weather forecasting, 21–22
Rayleigh, Lord, 128
recursion, 103, 150, 179, 299
Red Spot of Jupiter, 53–56, insert following page 114
reductionism, 5, 14, 115, 165, 185, 201, 210, 279, 304
redundancy, 256
relativity, 6–7, 14, 121, 162, 226
renormalization group theory, 161–62, 172, 179–80, 268–69
Reynolds, Osborne, 128
Richardson, Lewis F., 94–95
Richter, Peter, 229–30, 236, 240
Ricker, W. E., 63
rivers, 92, 197–98, 199, 260
Rössler attractor, see strange attractors roulette, 248
Royal McBee computer, 11–12, 15–16, 19
Rubin, Jerry, 45
Ruelle, David, 4, 131–34, 138–39, 149–50, 152–53, 182, 194, 216, 259, 261, 307
childhood, 132–33
on heart dynamics, 280–81
invents strange attractors, 133–34, 138–39
meets Lorenz, 141
on turbulence, 133
Ruysdael, Jacob van, 186
S
Santa Catalina mountains, 316
Sarkovskii, A. N., 74
satellites, 18–20, 53–55, 293
scaling, 86, 90, 103, 107, 115