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The Frontiers Collection The Nonlinear Universe Chaos, Emergence, Life Bearbeitet von Alwyn C Scott 1. Auflage 2007. Buch. xiv, 364 S. Hardcover ISBN 978 3 540 34152 9 Format (B x L): 15,5 x 23,5 cm Gewicht: 764 g Weitere Fachgebiete > Mathematik > Numerik und Wissenschaftliches Rechnen > Angewandte Mathematik, Mathematische Modelle Zu Inhaltsverzeichnis schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, eBooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte. Index Abbott, E. 104 artificial life 291–292, 298 Ablowitz, M. 15, 16, 51 Ashby, W.R. 87 acoustics, nonlinear 50 Aspect, A. 118 actin 191 associative cortex 266, 267 action spectra 183 Asteroid Belt 41 action–angle variable 30 astrology 2 Adler, F.R. 216 Atmanspacher, H. 273 ADP 183, 193 atmospheric dynamics 162–164 Adrian, E.D. 64, 139 ATP hydrolysis 129, 183, 189–191, 193 Agassiz, L. 14 attention 262 Ahlborn, B. 91, 210, 229 switching 273 AIGO 169 Aubry, S. 136 Airy, G. 45, 59, 61 Austin, R. 189 Alexander, D. 188, 190 autopoiesis 95, 292 Alfv´en, H. 156 axiomatization 288 Alfv´en wave 156 axon 144, 192, 245, 253 all-or-nothing principle 64, 139, 253, excitor motor 218 256 giant 64–66, 88, 144, 218, 241, 243, Allee effect 233 248, 249, 256 Allee, W. 232 HH 68 allopoiesis 292 Hodgkin–Huxley 68, 243–244 amide-I mode 129, 130, 184, 188, 189 motor 248 amino acid 131, 185 axonal tree 252, 258 Anderson localization 190 Anderson, C. 105 Baade, W. 172 Anderson, P. 281 Bacillus megaterium 183, 186 antibubble 161, 162 B¨acklund transformation 58 antikink 53, 55, 84, 197 B¨acklund, A. 58 Archaeopteryx 210 backward-wave oscillator 13 Aristarchus of Samos 2 balkanization 15, 77, 288 Aristotelian cosmology 166, 171 ball lightning 157, 289 Aristotelian dynamics 82 Banerjee, A. 201 Aristotelian limit 82, 83 Bar-Natan, D. 160 Aristotle 2–4, 82, 152, 222, 277 Bardeen, J. 143 on causality 5–6, 277, 282 Barone, A. 146 Arnol’d, V. 30 Barthes, M. 186 arrow of time 39, 284 Barwise, J. 223 Arthur Rylah Institute 235 base-rotator model 200 366 Index basin of attraction 285, 310 Bloembergen, N. 15 Basov, N. 147 blood vessels 215 Bateson, G. 87 Bode, H. 141 Bazin, H. 45, 61 Bode, J. 38 Belinski, V. 170 Bohm, D. 106, 117 bell shape 205 Bohr, N. 40, 111, 114, 115, 126, 315 Bell Telephone Laboratories 140, 150, Bohr–Einstein debate 113–116, 119 315 Bohr–Sommerfeld quantum theory 23 Bell’s inequality 117–120 Bolton, C. 174 Bell, J. 117 Boltzmann’s H-theorem 33 Belousov, B. 72, 182 Boltzmann, L. 312 Belousov–Zhabotinsky reaction 73, Bond, G. 36 74, 132, 232, 243 Born, M. 40, 104, 105, 127, 317 Belousov–Zhabotinsky wave 95 Born–Oppenheimer approximation B´enard, H. 155 128 B´enard–Marangoni convection 155 Bose–Einstein condensate 133, 182 Benedict, R. 181, 276 Boulding, K. 93 Bengtsson, H.-U. 216 boundary condition 6, 282 Benjamin, T.B. 149 Bour, E. 58 Benjamin–Feir instability 149 Boussinesq, J. 45, 61 benzene 122, 123, 143 bow wave 153 Bergson, H. 209, 279 Brahe, T. 3 Bernoulli, D. 59 brain 112, 143, 238, 240–276 Bernoulli, J. 20, 59 ambiguous perception 264 Bernstein, J. 63, 242 experiential response 268 Betyaev, S. 161 Hopfield model 270, 271 Beurle, R. 250 language learning 264 Bianchi, L. 58 learning environment 265 bifurcation 28, 215–217 McCulloch–Pitts model 257–260 diagram 29, 96 positive feedback 288 Bigio, I. 185, 200 research 241 biochemical phenomena 127–132, robustness 263 182–203 sensory deprivation 267 biological membrane 211–214 stabilized image 265 biological oscillator 230 Braitenberg, V. 264 biology, nonlinear 181–276 branching exponent 214, 217, 219, 255 bion 54 Brans, C. 176 Birge, R. 122 Brans–Dicke theory 176 Birge–Sponer relation 122, 131, 151, Brattain, W. 143 186 Bray, W. 72 Birkhoff, G.D. 23, 43, 163 breather 55, 84 Bishop, A. 49, 201 discrete 136–137 Bishop, G. 91 in mica 137 black hole 168, 170, 172–174, 177, 297 mass 109 black soap film 211 moving 54 Black, H.S. 140, 223 stationary 54 Bloch-wall dynamics 16 Brillouin, L. 170, 174, 175 Blodgett, K. 132 British coastline 25–27, 40 Index 367 Brody, T. 119 quantum 126–127 Brownian motion 27, 40, 85 research 34, 43 Brunswik, E. 91 spatial 56 Brusselator 132 chaotic trajectory 59, 307 Burgers equation 153, 165, 296 charge-density wave 133 Burgers, J. 165 Chase, P. 276 Buridan, J. 222 chemical aggregate 131–132 butterfly effect 16, 35, 164, 282 chemical garden 208, 209 chemical kinetics 132 Caianiello, E. 88 chemical phenomena 127–132 calcium pump 193, 194 chemical reaction 27 calculus 19 autocatalytic 182, 242 candle 9, 63, 69, 286, 288, 295 chemiosmotic hypothesis 129 Careri, G. 130, 136, 182, 186, 195, 208 Chirikov, B. 23, 33, 37 Carnap, R. 91 Chizmadzhev, Y. 244, 254 Cartwright, M. 35 Chklovskii, D. 218 catastrophe theory 95–97, 99, 208 Christiansen, P. 201 causality 5, 277 chromatin 203 convoluted 281–283 remodelling 203 nonlinear 283 Clarkson University 15 causation closed causal loop 10, 79, 87, 88, 129, downward 284–285, 289, 301 141, 156, 167, 184, 223, 224, 240, upward 284, 301 259, 275, 286–290 cause in biology 87 distal 6 closed causal network 289 efficient 6, 7, 13, 210, 227, 282, 284 cloud formation 156 final 6, 282 cognitive hierarchy 274–276, 297 formal 6, 7, 13, 210, 282 material 5, 282 Cole, K. 64 proximal 6 collective phenomena 230–232, 270 teleological 6 complex adaptive system 97–99 cell 7 complex network 289 dielectric properties 182 complex system 90, 92, 296–300 division 185 complexity 281 membrane 182, 193, 211–214, 242 Compton, A. 89, 243 pyramidal 253 computing power 13 reproduction 289 of neuron 254 cerebellum 253 condensed matter 132–137, 182, 280 Chandrasekhar, S. 172 conformon 190, 191, 195 Changeux, J.-P. 194 Conley, C. 18, 71 chaos 4, 9, 17, 18, 84–87, 122–127, 277 consciousness 278 dissipative 86 constructionist hypothesis 281 dynamical 240 Conway, J. 291 electronic 146 Copernican revolution 1, 3, 8, 14 energy-conserving 83 Copernicus,N. 2,3,36 homoclinic 32 cortical wave 250–252 in Solar System 36–41, 170 cosmic ray 105 low-dimensional 8, 13, 19–41, 55, 79, cosmology 15, 170–171, 177–178 84, 164, 289 Cowan, J. 251 368 Index Crane, H. 70, 241 dissipation 67, 81, 82, 84, 86, 145, 224, crayfish 218 230 Crick, F. 90, 300 dissipative perturbation 55 critical exponent 135 dissipative structure 95 critical phenomena 135 DNA 7, 90, 290, 300 Cruzeiro, L. 131, 190 hijacking 199, 228 Curie principle 223 soliton 196–203 Curie temperature 134 DNLS equation 124 curved spacetime 166, 170–172 domain wall 53, 133, 134 cybernetics 7, 86–88, 99, 224, 288 Dublin Institute for Advanced Studies Cygnum X-1 174 105, 301 dust devil 162, 163 da Vinci, L. 34, 85, 214 Dalibard, J. 118 Eddington, A. 172, 175 Dante Alighieri 2 Ed´en, P. 216 Darboux, G. 58 Edler, J. 131, 188 Darwin, C. 14, 209 Edwards, G. 197 Dashen, R. 109 Eigen, M. 92, 226, 288 Davis, C. 197 eigenvector 308 Davisson, C. 315 Davydov, A.S. 50, 128, 129, 182, 183, Eilbeck, C. 84, 137, 186 188, 190 Einstein tensor 167 de Broglie, L. 23, 106, 315 Einstein, A. 22, 101, 104, 105, 108, De Forest, L. 139 110, 111, 113–116, 118, 121, 126, de Vaucanson, J. 290, 299 147, 166, 168, 172, 315 de Vries, G. 45, 61 Einstein–Hilbert equations 166, 168, deep water wave 16, 50 171, 173, 177, 297 Deering, W. 217 electromagnetism, nonlinear 102–105 Deimos 37, 170 electron 102, 103, 105, 108, 117 Delbr¨uck, M. 300 Born–Infeld model 105, 171 dendrite 217, 218, 252–257, 282 Mie model 103 dendritic logic 254 spinor field 106 dendritic tree 252, 253, 258 electron–positron creation 105 geometric ratio 253–257 electron–positron decay 53, 117 dependent variable 6 electrophysiology 139, 217, 242, 244, Derrick–Hobart theorem 107 247 Descartes, R. 3, 279, 290 electrostatic interaction 20 developmental biology 222, 226, 227 elementary particle 16, 101–110 DeWitt, B. 120, 121 extended 108 Dicke, R. 174, 176 journals 108 diffusion equation point 108 linear 77, 165 Elsasser, W. 92, 236, 238 nonlinear 65, 244 emergence 4, 8, 9, 43, 80, 87, 93, 95, diffusion, nonlinear 143–144 101, 105, 141, 181, 224, 240, 276, diode 144–148 277, 285, 287, 293, 301 Dirac, P.A.M. 128, 173 chaotic 165, 178, 296–300 directed graph 226 of human culture 289 dislocation dynamics 16, 33, 51, 56, of life 226, 288, 289, 297 84, 133 Emmeche, C. 284 Index 369 energy conservation 30, 49, 55, 61, 67, FitzHugh–Nagumo equation 71–72, 83, 84, 93, 101, 224, 285 81, 96, 246–247 energy localization in biomolecules 2D 73 128–131, 184 3D 76 energy–momentum tensor 167 flame-front propagation 67, 85, 244, engineering 138–147 295 Englander, W. 196 Flaschka, H. 16 Enigma code 73 Flatland 178 entropy 33 flow resistance 164 Enz, U. 107 FLRW model 171 epigenetic drift 299 fluid dynamics 152–165 epilepsy 252, 268 fluxon 48, 53, 55, 133, 145, 146 equifinality 285 fold catastrophe 96 Esaki, L. 143, 145 forcing term 6 Escherischia coli 183, 185, 199, 238 Ford, J. 5, 32, 79 Euler, L.