|  | | | | | dimension (see chaos, phase space, dimension) | | | | | | | | | introduction (Part 2, Chapter 1) 115-127 | | | | | | | | | phase space (Part 2, Chapter 2) 129-153 | | | | | | | | | biological implications 152 | | | | | | | | | construction 122, 123, 130, 131, 138, 139, 142, 143 | | | | | | | | | definition 130 | | | | | | | | | deterministic vs. random 122, 126, 134-137, 142, 148 | | | | | | | | | dimension 122, 126, 134-137, 142, 150, 192 | | | | | | | | | electrocardiogram 196, 197 | | | | | | | | | electroencephalogram 198, 199 | | | | | | | | | epidemics 194, 195 | | | | | | | | | hair cells 140, 141 | | | | | | | | | heart cells 144-147 | | | | | | | | | logistic equation 122, 126, 134 | | | | | | | | | Lorenz equation 131, 132, 134, 158, 166 | | | | | | | | | overview of the phase space analysis 148, 149 | | | | | | | | | problems with the phase space analysis 206-217, 222 | | | | | | | | | random mechanism 122, 126, 136 | | | | | | | | | vectors 218, 219 | | | | | | | | | problems with the chaos analysis | | | | | | | | | amount of data 210 | | | | | | | | | embedding theorems 214 | | | | | | | | | interpretation of low dimensional attractor 216 | | | | | | | | | lag 212 | | | | | | | | | summary 208 | | | | | | | | | properties 124, 126, 238 | | | | | | | | | references, suggested 240, 241 | | | | | | | | | sensitivity to initial conditions (Part 2, Chapter 3) 155-173 | | | | | | | | | biological implications 172 | | | | | | | | | definition 162 | | | | | | | | | Lorenz equations 156-161, 166, 167 | | | | | | | | | Poincaré 164 | | | | | | | | | time series 160, 161 | | | | | | | | | strange 166-169 | | | | | | | | | summary 238 | | | | | | | | | chaotic universe 164 | | | | | | | | | characteristic scale 6 | | | | | | | | | checkerboard 80, 81 | | | | | | | | | chemical reactions 40, 68, 180-185 | | | | | | | | | chickenpox 194, 195 | | | | | | | | | Churilla 17 | | | | | | | | | clockwork universe 164 | | | | | | | | | coastline 32, 33 | | | | | | | | | Cohen 197, 203 | | | | | | | | | coin games | | | | | | | | | ordinary coin toss 78 | | | | | | | | | St. Petersburg Game 78 | | | | | | | | | complex output 120, 124 | | | | | | | | | construction of the phase space set 122, 130, 138, 142 | | | | | | | | | control of chaos (see chaos, control) | | | | | | | | | convection 156 | | | | | | | | | convulsions 198 | | | | | | | | | cornea 68 | | | | | | | | | correlations 70, 220 | | | | | | | | | Coulson 95 | | | | | | | | | coupled maps 248, 249 | | | | | | | | | covering dimension 47, 60, 61 | | | | | | | | | Creutzfeld-Jakob 199 | | | | | | | | | Creutz 249 | | | | | | | | | cultured cells 14-17, 22, 144-147 | | | | | | | | | Czegledy 67 | | | | | | | | | Daccord 15 | | | | | | | | | data (see time series) | | | | | | | | | definitions | | | | | | | | | bifurcation 176 | | | | | | | | | chaos 118, 124, 168 | | | | | | | | | control of chaos 226 | | | | |
