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| Smith P. — Explaining chaos |
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| Ïðåäìåòíûé óêàçàòåëü |
Anomalous monism 143
Attractor 8 57 167
Attractor, empirical construction 135—142
Attractor, Lorenz 11 38 49 54—55 134
Attractor, strange 11 143 146 171
Barnsley copier 34—35 45 69
Barnsley fern 35—36
Barnsley, M. 34
Basin of attraction 14
Belousov — Zhabotinskii reaction 40 111 135 140—142 162
Berry paradox 153
Bifurcation 62
Bifurcation, period-doubling 64 97 103—105
Bifurcation, rate 101 118
Bifurcation, tangent 111
Boltzmann, L. 17 119 145
Boussinesq approximation 12
Brownian motion 37 39
Butterfly effect 1 16 66—67
Cantor set 25—26 49 69 97 102 171
Chaitin, G. 150 155
Chaos, characterized informally 1 13 17—18 46 96
Chaos, Devaney definition 169 175—177
Chaos, due to stretching and folding 46 142 168 177 181
Chaos, formal definitions 165—184
Chaos, in the head 143—146
Chaos, mathematical vs.worldly 50 123—124 132—135 140—143 165—166
Chaos, routes to 64 102 111
Chaos, unbounded 168
Coast of Britain 31—33
Compressibility, of information 150
confinement 15 20 102 168
Conservative systems 16 114
Continuity in initial data 7 56
Determinism of models 3 6 147—149
Determinism of worlds 147—148
Determinism, psychological 144
Devaney, R. 166 169 175—177
Diffeomorphism 138
Difference equation 5 91
Dimension, box-counting 25
Dimension, divider 23
Dimension, fractal 29—31 118 175
Dimension, Hausdorff — Besicovich 29 175
Dimension, topological 22
Discrete maps 91—112 166—173 176—183
Dixon, P. 171
Dynamical equations 3 5—7
Dynamical equations, canonical form 2
Dynamical system 3—5
Earman, J. 147—148
Error inflation 4 15 53—55 96 115
Experimentalism 121 124 141
Explanation 19 113—131 142
Explanation, ex post facto 114—116
Explanation, probabilistic 115—117
Explanation, Q-strategy 122—124
Explanation, qualitative 117
Feigenbaum constants 101
Feigenbaum, M. 101
Fixed point 95 100
Flow of trajectories 5
Ford, J. 147 159—160
Fractal 20 28
Fractal, dimension 29—31 118 175
Fractal, fractal-like scaling 32—33
Fractal, growth theory 36—38
Fractal, prefractal 28
Freeman, W. 145
Glendinning, P. 179
GM-theory 78—79
Goldstein, H. 118
Halting problem 154
Hamiltonian dynamics 16—17 114
Hobbs, J. 114 116
Homoclinic explosions 67—70
Homoclinic trajectory 64
Horseshoe folding 48 94 177 179—180
Hunt, G. 56
Hyperion, motion of 114—115
Idealization 42—43 113
Infinite intricacy 18 20 29 32 39
Intermittency 110—111
Invariant set 167
Kellert, S 117—122 125
Koch curve 21—25 45
Koch curve, broken 30
| Koch curve, randomized 27
Kolmogorov, A. 150 155
Lakatos, I. 174 176
Lewis, D. 81 83—85 88
Li — Yorke theorem 99 112
Liapunov exponents 90 105 111 117—118 136 138 178—179 181—183
Liouville’s theorem 16
Logistic map 91—97
Lorenz attractor 11 38 49 54—55 134
Lorenz model 9—13 44 47—50 54—56 60—66 107 125 132
Lorenz model, “model of the model” 52—54 91—92 94 152 160
Lorenz, E. 9
Mandelbrot, B. 21 31—33
Martin — Lof, P. 153
Measure 174—175
Miller, D. 85—89
Montague, R. 148—149
Morton, A. 122—125
Newtonian mechanics 6 89 147
Niiniluoto, I. 82
Noise 3 161—162
Numerical experiments 121
Oddie, G. 82
Orbit 91
Orbit, diagram 96—97
Orbit, periodic 94 176
Parameters 2
Parameters, dynamical dependence on 60—66 96—97 101—108
Pendulum 2 14 57 72—73
Period three implies chaos 98—100
Period-doubling 64 97 102—105 113 141
Phase space 3
Poincare surface of section 92—93 109 140
Poincare — Bendixson theorem 8
Poincare, H. 16
Popper, K. 82
predictions 51—56 113
Predictions, qualitative 117
Prefractal 28
Railton, P. 116
Randomness 19 147—164
Randomness, KCS 150—159
Randomness, of processes vs.products 149 151
Randomness, statistical 150
Rayleigh — Benard convection 12 66—67 107—109 126 132
Reductionism 118—120
Robustness 126—130 163
Rossler system 50 140
Round-off errors 58
Roux, J. 140
Ruelle, D. 142—143
Sarkovskii’s theorem 98 100
Self-similarity 22
Sensitive dependence 1 15 20 53 55 102 105 167—168 178
Shadowing theorems 59
Shift map 171
simplicity 44—45 50 65
Solomonov, R. 150
Stability 3—4 (see also “Robustness”)
State space 3
state variables 2
Stewart, I. 66
Stretching and folding 45—50 52 93—94 106 142 168 177 181
Supervaluationism 129—130
Suppes, P. 80
Surplus content 42—43 127—128
Symbol shift dynamics 53 95—96
Tent map 94
Topological entropy 178 181—182
Topological invariants 21 118
Topological transitivity 169
Trajectory 3
Trajectory, homoclinic 64
Trajectory, periodic 4 8 54
Transition analogy 122—124
Truth, approximate 19 71—90
Truth, disquotational theory 74
Truth, “filtered disquotationalism” 77
Turing machine 155—156
Unimodal maps 102
Uniqueness of solutions 7
Universality 91 100—105
van Fraassen, B. 80
Volume-shrinkage 15 47
Water-wheel, chaotic 133
Web diagram 103
“Coarse-grained” quantities 18 39—41 127—129 163
“Middle thirds” set 25—26
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