Chaos - James Gleick [170]
in economics, 86
in phase transitions, 161
in turbulence, 162
Schaffer, William M., 15, 315–17
schizophrenia, 275–78, 292, 298
Scholz, Christopher, 103–7
Schrier, Alvin, 290–91
Schrödinger, Erwin, 299–300
Schwenk, 197
Schwinger, Julian, 161
science
causality in, 201–2
communication in, 31, 38, 181–82, 184, 196, 252, 275
financing of, 249
in Soviet Union, 76
and mysticism, 195
“normal,” 36–37
peer review in, 131, 180–81, 195
revolution in, 36–39, 111, 315
seeing the unexpected in, 35
traditional beliefs in, 14–15, 44, 64–65, 85, 92–93, 123–24, 303–306
second law, see thermodynamics
self–organization, 55, 252, 261, 308, 314
self–similarity, 103, 115–16, 227
in turbulence, 162
Shakespeare, William, 258, 320
Shannon. Claude, 255–57
Shaw, Christopher, 259
Shaw, Robert Stetson, 243–50, 252–253, 258–72, 293
and dripping faucet, 262–66, 269
Shlesinger, Michael, 5
Sierpiński carpet and gasket, 100, 101, 237
Sinai, Yasha, 76, 261
Smale, 4, 47–48, 50, 52–53
Smale, Stephen, 4, 45–53, 61, 70, 76, 89, 118, 132, 171, 182, 208, 247
antiwar protests, 45
conjecture on chaos, 45, 47–48, 66
horseshoe, 51–52, 51, 76, 132–33, 149
influence on Yorke, 65–66, 69
stability in the sense of, 47–48
Smith, J. Maynard, 64
smoke, 5
snowflakes, 114, 272, 309–14, 312–313
solar system, 5, 14
stability of, 145
Soviet Union, 74, 76, 252
space balls, 40, 43
spectrum diagram, 205–6, 206, 207
Spiegel, Edward A., 244–45
stability, 47, 309
through feedback, 61–62, 193–94, 292
Stanford Linear Accelerator Center, 263
Stanford University, 269
stars, 4
state space, see phase space
Stein, Myron, 167–68, 173
Stein, Paul, 167–68, 173–74, 182
Steiner, Rudolf, 197
Stevens, Wallace, 196
Stewart, H. Bruce, 306, 334–35
stock market, 85, 93, 152, 271, 307
storms, 20, 54, 108, 170, 322
strange attractors, 4, 133–35, 137–38, 140–44, 143, 152, 209, 246, 252, 254, 258, 262, 266, 269, 271, 320
basins of, 43, 233–36
in climate, 307
in epidemics, 316
in experiment, 265–66
fractal nature of, 139, 141, 152
measuring, 253–55
named by Ruelle and Takens, 133–134
of Feigenbaum, 175
of Hénon, 149–50, 151
of Lorenz, 28, 30, 139–41, 140, 149, 153, 218, 244–47, 269, insert following page 114
of Rössler, 141
of Ueda, 141
supercomputers, 1, 7, 19, 123, 137
superconductivity, 244, 247
surface tension, 311
Swift, Jonathan, 103
Swinney, Harry L., 126–27, 150, 152, 194, 203, 209, 266, 270, 317
Symmer, Robert, 111
Systron–Donner computer, see computers, analog
T
Takens, Floris, 133, 138–39, 141 and reconstructing phase space, 266
Taylor, Sir Geoffrey Ingram, 130
Tellus, 169
Texas, University of, 266, 285
thermodynamics, second law of, 257–258, 307, 308
as metaphor, 308
Thompson, D’Arcy Wentworth, 198–202
tides, 14, 18
Tolstoy, Leo, 38
topology, 45–46, 50, 52, 198, 253
and dynamical systems, 47
of biological rhythms, 286, 289, 292
traffic, 5
transistor, 7
turbulence, 2, 4, 7, 39, 121–25, 130–133, 137–38, 162, 198, 203, 307
and information, 261
in heart valves, 282–83
on Jupiter, 53
Landau picture of, 123–25, 130–33, 137, 180, 194
modeling, with computers, 137
onset of, 122–23, 170, 174–75, 192, 194
Turner, Joseph Mallord William, 186
U
Ueda, Yoshisuke, 45, 141
Ueda’s attractor, see strange attractors
Ulam, Stanislaw, 68, 182, 326
uncertainty, 14, 261
universality, 5, 172–81, 187, 196, 215, 236
apparent lack of, 153
consequences for science, 179–81, 183, 268–69
discovered by Feigenbaum, 172–75
theory for, 175–79
and perception, 166
unpredictability, 44, 253, 258, 261, 319
Updike, John, 53
V
van der Pol, Balthasar, 49, 51, 332
van Gogh, Vincent, 186
Vatican, 53
Virchow, Rudolf, 111
Virginia Polytechnic Institute, 159
Voyager, see satellites
W
war, 5
Water Resources Bulletin, 197
Watson, James, 111
weather, 5, 7, 168
and strange attractors, 152
aperiodicity in, 12, 15
control and modification, 18–19
forecasting, 13
modeling, 11–15, 19
Weaver, Warren, 257
White, Robert, 21
Wilson, Kenneth, 160–62
wind, 5, 11, 15–16
Winfree,