Applied chaos theory: a paradigm for complexity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Acad. Press
1993
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| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
| Beschreibung: | XVIII, 246 S. Ill., graph. Darst. |
| ISBN: | 0121559408 |
Internformat
MARC
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| 245 | 1 | 0 | |a Applied chaos theory |b a paradigm for complexity |c A. B. Çambel |
| 264 | 1 | |a Boston u.a. |b Acad. Press |c 1993 | |
| 300 | |a XVIII, 246 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Chaos | |
| 650 | 7 | |a Chaos |2 gtt | |
| 650 | 4 | |a Complejidad (Filosofía) | |
| 650 | 4 | |a Complexité (Philosophie) | |
| 650 | 4 | |a Comportamiento caótico en sistemas | |
| 650 | 4 | |a Sciences - Philosophie | |
| 650 | 4 | |a Naturwissenschaft | |
| 650 | 4 | |a Philosophie | |
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| 650 | 4 | |a Complexity (Philosophy) | |
| 650 | 4 | |a Chaotic behavior in systems | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
Preface xi
Acknowledgments xv
1 Living with Complexity
Introduction 1
Characteristics of Complexity 2
Laplace s Demon 7
Nonlinearity 8
A Sneak Preview of Chaos Theory 13
Degrees of Freedom and Numbers 17
Dynamical Systems 19
Scope 20
Quo Vadis?Reduction and Holism 22
Notes and References 23
2 Meta Quanitification of Complexity
Introduction 27
Facing the New Realities 28
vii
viii CONTENTS
Hierarchical Approach 30
Geometric Approach 33
Algorithmic Complexity 35
Notes and References 38
3 The Anatomy of Systems and Structures
Introduction 41
Open, Closed, and Isolated Systems 41
Phase Space 44
Equilibrium and Nonequilibrium 47
Stability and Instability 48
Parameters to Evaluate Equilibrium 50
Rayleigh Benard Instability 52
Irreversibility 54
Notes and References 57
4 Attractors
Introduction 59
Fixed Point Attractors 61
Limit Cycles 64
Torus Attractors 69
Strange Attractors 69
Bernoulli Shift 74
Lyapunov Exponential Coefficient 76
Belousov Zhabotinsky Reaction 77
Notes and References 79
5 Rapid Growth
Introduction 81
Malthus s Theory and the Exponential Equation 82
Fibonacci Series 86
Notes and References 89
6 The Logistic Curve
Introduction 91
Verhulst s Equation 94
Clues for Technological R D Planning 95
CONTENTS ix
Lotka Volterra Equations 98
Notes and References 106
7 The Discrete Logistic Equation
Introduction 107
The Discrete Logistic Curve 109
The Morphology of the Discrete Logistic Equation 111
Return Maps 112
Bifurcation Diagram 117
Feigenbaum Universal Numbers 121
Multivariable Equations 124
Notes and References 124
8 The Different Personalities of Entropy
Introduction 127
Is Entropy for Real? 129
Why Muddy the Waters with Entropy? 130
Macroscopic Entropy 133
Statistical Entropy 141
Dynamic Entropies 151
Notes and References 157
9 Dimensions and Scaling
Introduction 161
Dimensions 164
Hausdorff Besicovitch Dimension 165
Embedding Dimension 167
Scaling 169
Notes and References 173
10 Gallery of Monsters
Introduction 175
Background 176
Julia and Mandelbrot Sets 182
Barnsley s Chaos Game 188
Notes and References 191
x CONTENTS
11 The Diagnostics and Control of Chaos
Introduction 193
Time Series 195
Time Series Analysis 199
Log Normal Distribution and 1 // Noise 204
Ising Model 207
Chaos Diagnostics 208
Chaos Control 215
Start Your Own Chaos Laboratory 217
Notes and References 220
12 Discussion Topics 223
Index of Names 235
Subject Index 241
|
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| isbn | 0121559408 |
| language | English |
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| physical | XVIII, 246 S. Ill., graph. Darst. |
| publishDate | 1993 |
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| spelling | Çambel, Ali Bulent 1923-2014 Verfasser (DE-588)115752528 aut Applied chaos theory a paradigm for complexity A. B. Çambel Boston u.a. Acad. Press 1993 XVIII, 246 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chaos Chaos gtt Complejidad (Filosofía) Complexité (Philosophie) Comportamiento caótico en sistemas Sciences - Philosophie Naturwissenschaft Philosophie Science -- Philosophy Complexity (Philosophy) Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s DE-604 http://www.loc.gov/catdir/description/els032/92027983.html Publisher description http://www.loc.gov/catdir/toc/els032/92027983.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004704079&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Çambel, Ali Bulent 1923-2014 Applied chaos theory a paradigm for complexity Chaos Chaos gtt Complejidad (Filosofía) Complexité (Philosophie) Comportamiento caótico en sistemas Sciences - Philosophie Naturwissenschaft Philosophie Science -- Philosophy Complexity (Philosophy) Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4009754-7 |
| title | Applied chaos theory a paradigm for complexity |
| title_auth | Applied chaos theory a paradigm for complexity |
| title_exact_search | Applied chaos theory a paradigm for complexity |
| title_full | Applied chaos theory a paradigm for complexity A. B. Çambel |
| title_fullStr | Applied chaos theory a paradigm for complexity A. B. Çambel |
| title_full_unstemmed | Applied chaos theory a paradigm for complexity A. B. Çambel |
| title_short | Applied chaos theory |
| title_sort | applied chaos theory a paradigm for complexity |
| title_sub | a paradigm for complexity |
| topic | Chaos Chaos gtt Complejidad (Filosofía) Complexité (Philosophie) Comportamiento caótico en sistemas Sciences - Philosophie Naturwissenschaft Philosophie Science -- Philosophy Complexity (Philosophy) Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaos Complejidad (Filosofía) Complexité (Philosophie) Comportamiento caótico en sistemas Sciences - Philosophie Naturwissenschaft Philosophie Science -- Philosophy Complexity (Philosophy) Chaotic behavior in systems Chaostheorie |
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