The lure of modern science: fractal thinking
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1995
|
| Schriftenreihe: | Studies of nonlinear phenomena in life science
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 420 S. Ill., graph. Darst. |
| ISBN: | 9810221975 |
Internformat
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Datensatz im Suchindex
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| adam_text | STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCES - VOL. 3 THE LURE OF
MODERN SCIENCE FRACTAL THINKING BRUCE J. WEST & BILL DEERING CENTER FOR
NONLINEAR SCIENCE UNIVERSITY OF NORTH TEXAS VFE WORLD SCIENTIFIC W L
SINGAPORE * NEW JERSEY * LONDON * HONG KONG CONTENTS 1. LURE OF MODERN
SCIENCE 1 1.1 SETTING THE STAGE 5 1.2 HOW SCIENCE HAS CHANGED 10 1.3 THE
STAGES OF MODEL BUILDING 12 24 1.3.1 LINEAR MODELS 26 1.3.2 NONLINEAR
MODELS 30 1.4 PREVIEWS 34 2. LINEAR SPACES AND GEOMETRY IN NATURAL
PHILOSOPHY 39 2.1 SPACES 45 2.2 PHYSICS; A LINEAR WORLD VIEW 55 2.3
IRREVERSIBILITY, EQUIPARTITION AND SOLITONS 67 2.4 DISTRIBUTION OF
ERRORS 80 2.5 SPACES OF UNUSUAL DIMENSIONS 88 2.6 LOOKING BACK 99
APPENDIX II: SOME FORMAL AND SOME INFORMAL RESULTS 102 11.1 LOOKING AT
SPACE 103 11.2 THERMODYNAMICS AND MODELING 106 11.3 RANDOM WALKS 109
11.4 NONLINEAR OSCILLATOR (FPU) ILL 11.5 LAW OF ERROR 114 3. NOISE IN
NATURAL PHILOSOPHY 119 3.1 POWER SPECTRUM 127 3.2 INVERSE POWER LAWS :
135 3.3 NORMAL TO LOGNORMAL DISTRIBUTIONS 145 3.4 FROM LOGNORMAL TO 1/F
156 3.5 NOISE AND MUSIC 165 3.6 NOISE IN GENERAL 172 3.7 DISTRIBUTION 1
FUNCTIONS 176 3.7.1 INVERSE POWER LAWS AND PARADOXES 177 3.7.2
TRANSITION TO INVERSE POWER LAW 179 3.8 RECAPITULATION 182 APPENDIX III:
FORMAL PROPERTIES OF SCALING NOISE 183 111.1 CORRELATION FUNCTION 184
111.2 RANDOM FRACTAL PROCESS 186 111.3 BROWNIAN MOTION 190 111.4
FRACTIONAL BROWNIAN MOTION 193 4. SELF-SIMILARITY, FRACTALS AND
MEASUREMENTS 195 4.1 SELF-SIMILARITY . : .198 4.2 FRACTAL CURVES 204 4.3
FRACTAL PHYSIOLOGY 218 4.3IL ARCHITECTURE OF THE LUNG . 226 4.3.2 ERROR
TOLERANCE 235 4.3.3 THE FRACTAL HEART 239 4.3.4 FRACTAL RETINAL VESSEL
PATTERNS 249 4.3.5 FRACTAL DIFFUSION 252 4.4 FRACTAL PHYSICS 254 4.4.1
DIFFUSION LIMITED AGGREGATION 256 4.4.2 SCATTERING 258 APPENDIX IV: ALL
ABOUT WEIERSTRASS 263 IV.L THE NON-DIFFERENTIABLE WEIERSTRASS FUNCTION
264 IV.2 WEIERSTRASS SCALING 265 IV.3 MELLIN TRANSFORMS 266 IV.4 LEVY
DISTRIBUTION 269 5. MAPS AND DYNAMICS 273 5.1 DISCRETE DYNAMICAL
EQUATIONS 277 5.1.1 CONTINUOUS GROWTH EQUATIONS 279 5.1.2 LOGISTIC
EQUATION 292 5.2 ONE-HUMPED MAPS 300 5.2.1 GEOMETRICAL ITERATION 301
5.2.2 CHAOS AND RANDOMNESS 306 5.3 HIGHER-DIMENSIONAL MAPS 308 5.3.1
RETURN TO RANDOMNESS 312 5.4 PROBABILITY DENSITY 319 5.4.1 LOGISTIC
CHAOS 319 APPENDIX V: TECHNICAL ISSUES 323 V.L LINEAR STABILITY ANALYSIS
324 V.2 TRANSFORMED LOGISTIC EQUATION AND BIFURCATIONS 325 V.3 LYAPUNOV
EXPONENTS 329 6. DYNAMICS IN FRACTAL DIMENSIONS 331 6.1 A BRIEF HISTORY
OF UNPREDICTABILITY 333 6.1.1 TYPES OF ATTRACTORS 337 6.1.2 MEASURES OF
CHAOS 344 6.1.3 ATTRACTOR RECONSTRUCTION TECHNIQUE (ART) 346 6.2 THE
FRACTAL HEART 352 6.3 STRANGE ATTRACTORS AND NERVES 360 6.4
ELECTOENCEPHALOGRAM DATA AND ART 369 6.5 OVERCOMING THE LIMITATIONS OF
GPA 376 6.6 CHAOS AND CHEMISTRY 380 APPENDIX VI: MEASURES OF CHAOS 395
VI.L ATTRACTOR RECONSTRUCTION TECHNIQUE (ART) . . . 396 VI.2 CORRELATION
DIMENSION 397 VI.3 ESTIMATING DIMENSIONS 398 REFERENCES 401 INDEX 415
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:55:13Z |
| institution | BVB |
| isbn | 9810221975 |
| language | English |
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| physical | VII, 420 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific |
| record_format | marc |
| series | Studies of nonlinear phenomena in life science |
| series2 | Studies of nonlinear phenomena in life science |
| spelling | West, Bruce J. 1941- Verfasser (DE-588)109798511 aut The lure of modern science fractal thinking Bruce J. West & Bill Deering Singapore [u.a.] World Scientific 1995 VII, 420 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies of nonlinear phenomena in life science 3 Naturwissenschaft Philosophie Chaotic behavior in systems Fractals Science Philosophy Fraktal (DE-588)4123220-3 gnd rswk-swf Biowissenschaften (DE-588)4129772-6 gnd rswk-swf Fraktal (DE-588)4123220-3 s Biowissenschaften (DE-588)4129772-6 s DE-604 Deering, Bill Verfasser aut Studies of nonlinear phenomena in life science 3 (DE-604)BV004340970 3 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007046442&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | West, Bruce J. 1941- Deering, Bill The lure of modern science fractal thinking Studies of nonlinear phenomena in life science Naturwissenschaft Philosophie Chaotic behavior in systems Fractals Science Philosophy Fraktal (DE-588)4123220-3 gnd Biowissenschaften (DE-588)4129772-6 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4129772-6 |
| title | The lure of modern science fractal thinking |
| title_auth | The lure of modern science fractal thinking |
| title_exact_search | The lure of modern science fractal thinking |
| title_full | The lure of modern science fractal thinking Bruce J. West & Bill Deering |
| title_fullStr | The lure of modern science fractal thinking Bruce J. West & Bill Deering |
| title_full_unstemmed | The lure of modern science fractal thinking Bruce J. West & Bill Deering |
| title_short | The lure of modern science |
| title_sort | the lure of modern science fractal thinking |
| title_sub | fractal thinking |
| topic | Naturwissenschaft Philosophie Chaotic behavior in systems Fractals Science Philosophy Fraktal (DE-588)4123220-3 gnd Biowissenschaften (DE-588)4129772-6 gnd |
| topic_facet | Naturwissenschaft Philosophie Chaotic behavior in systems Fractals Science Philosophy Fraktal Biowissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007046442&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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