Foundations of complex systems: nonlinear dynamics, statistical physics, and prediction
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey[u.a.]
World Scientific
2007
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 328 S. graph. Darst. |
| ISBN: | 9789812700438 9812700439 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804138571949408256 |
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| adam_text | FOUNDATIONS OF COMPLEX SYSTEMS NONLINEAR DYNAMICS, STATISTICAL PHYSICS,
INFORMATION AND PREDICTION GREGOIRE NICOLIS I UNIVERSITY OF BRUSSELS,
BELGIUM CATHERINE NICOLIS ROYAL METEOROLOGICAL INSTITUTE OF BELGIUM,
BELGIUM WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING *
SHANGHAI * HONG KONG * TAIPEI * CHENNAI CONTENTS PREFACE VII 1 THE
PHENOMENOLOGY OF COMPLEX SYSTEMS 1 1.1 COMPLEXITY, A NEW PARADIGM 1 1.2
SIGNATURES OF COMPLEXITY 3 1.3 ONSET OF COMPLEXITY 5 1.4 FOUR CASE
STUDIES 8 1.4.1 RAYLEIGH-BENARD CONVECTION 8 1.4.2 ATMOSPHERIC AND
CLIMATIC VARIABILITY . . 11 1.4.3 COLLECTIVE PROBLEM SOLVING: FOOD
RECRUITMENT IN ANTS . . 15 1.4.4 HUMAN SYSTEMS 19 1.5 SUMMING UP 23 2
DETERMINISTIC VIEW 25 2.1 DYNAMICAL SYSTEMS, PHASE SPACE, STABILITY 25
2.1.1 CONSERVATIVE SYSTEMS 27 2.1.2 DISSIPATIVE SYSTEMS 27 2.2 LEVELS OF
DESCRIPTION 34 2.2.1 THE MICROSCOPIC LEVEL 34 2.2.2 THE MACROSCOPIC
LEVEL 36 2.2.3 THERMODYNAMIC FORMULATION 38 2.3 BIFURCATIONS, NORMAL
FORMS, EMERGENCE 41 2.4 UNIVERSALITY, STRUCTURAL -STABILITY ^ 46 2.5
DETERMINISTIC CHAOS * 49 2.6 ASPECTS OF COUPLING-INDUCED COMPLEXITY 53
2.7 MODELING COMPLEXITY BEYOND PHYSICAL SCIENCE 59 3 THE PROBABILISTIC
DIMENSION OF COMPLEX SYSTEMS 64 3.1 NEED FOR A PROBABILISTIC APPROACH 64
3.2 PROBABILITY DISTRIBUTIONS AND THEIR EVOLUTION LAWS 65 3.3 THE
RETRIEVAL OF UNIVERSALITY 72 CONTENTS 3.4 THE TRANSITION TO COMPLEXITY
IN PROBABILITY SPACE 77 3.5 THE LIMITS OF VALIDITY OF THE MACROSCOPIC
DESCRIPTION 82 3.5.1 CLOSING THE MOMENT EQUATIONS IN THE MESOSCOPIC
DESCRIPTION 82 3.5.2 TRANSITIONS BETWEEN STATES 84 3.5.3 AVERAGE VALUES
VERSUS FLUCTUATIONS IN DETERMINISTIC CHAOS 88 3.6 SIMULATING COMPLEX
SYSTEMS 90 3.6.1 MONTE CARLO SIMULATION 91 3.6.2 MICROSCOPIC SIMULATIONS
92 3.6.3 CELLULAR AUTOMATA 94 3.6.4 AGENTS, PLAYERS AND GAMES 95 3.7
DISORDER-GENERATED COMPLEXITY 96 INFORMATION, ENTROPY AND SELECTION 101
4.1 COMPLEXITY AND INFORMATION 101 4.2 THE INFORMATION ENTROPY OF A
HISTORY 104 4.3 SCALING RULES AND SELECTION 106 4.4 TIME-DEPENDENT
PROPERTIES OF INFORMATION. INFORMATION ENTROPY AND THERMODYNAMIC ENTROPY
115 4.5 DYNAMICAL AND STATISTICAL PROPERTIES OF TIME HISTORIES. LARGE
DEVIATIONS, FLUCTUATION THEOREMS 117 4.6 FURTHER INFORMATION MEASURES.
DIMENSIONS AND LYAPUNOV EXPONENTS REVISITED 120 4.7 PHYSICAL COMPLEXITY,
ALGORITHMIC COMPLEXITY, AND COMPUTATION 124 4.8 SUMMING UP: TOWARDS A
THERMODYNAMICS OF COMPLEX SYSTEMS 128 COMMUNICATING WITH A COMPLEX
SYSTEM: MONITORING, ANALYSIS AND PREDICTION . 131 5.1 NATURE OF THE
PROBLEM ....* . 131 5.2 CLASSICAL APPROACHES AND THEIR LIMITATIONS Y . .
. . 131 5.2.1 EXPLORATORY DATA ANALYSIS R 132 5.2.2 TIME SERIES ANALYSIS
AND STATISTICAL FORECASTING 135 5.2.3 SAMPLING IN TIME AND IN SPACE * *
* 138 5.3 NONLINEAR DATA ANALYSIS 139 5.3.1 DYNAMICAL RECONSTRUCTION 139
5.3.2 SYMBOLIC DYNAMICS FROM TIME SERIES 143 5.3.3 NONLINEAR PREDICTION
148 5.4 THE MONITORING OF COMPLEX FIELDS 151 CONTENTS 5.4.1 OPTIMIZING
AN OBSERVATIONAL NETWORK 153 5.4.2 DATA ASSIMILATION 157 5.5 THE
PREDICTABILITY HORIZON AND THE LIMITS OF MODELING 159 5.5.1 THE DYNAMICS
OF GROWTH OF INITIAL ERRORS 160 5.5.2 THE DYNAMICS OF MODEL ERRORS 164
5.5.3 CAN PREDICTION ERRORS BE CONTROLLED? 170 5.6 RECURRENCE AS A
PREDICTOR 171 5.6.1 FORMULATION 172 5.6.2 RECURRENCE TIME STATISTICS AND
DYNAMICAL COMPLEXITY 176 5.7 EXTREME EVENTS 180 5.7.1 FORMULATION 180
5.7.2 STATISTICAL THEORY OF EXTREMES 182 5.7.3 SIGNATURES OF A
DETERMINISTIC DYNAMICS IN EXTREME EVENTS 185 5.7.4 STATISTICAL AND
DYNAMICAL ASPECTS OF THE HURST PHENOMENON 191 SELECTED TOPICS 195 6.1
THE ARROW OF TIME 195 6.1.1 THE MAXWELL-BOLTZMANN REVOLUTION, KINETIC
THEORY, BOLTZMANN S EQUATION 196 6.1.2 FIRST RESOLUTION OF THE
PARADOXES: MARKOV PROCESSES, MASTER EQUATION 200 6.1.3 GENERALIZED
KINETIC THEORIES 202 6.1.4 MICROSCOPIC CHAOS AND NONEQUILIBRIUM
STATISTICAL MECHANICS 204 6.2 THRIVING ON FLUCTUATIONS: THE CHALLENGE OF
BEING SMALL 208 6.2.1 FLUCTUATION DYNAMICS IN NONEQUILIBRIUM STEADY
STATES REVISITED 210 6.2.2 THE PECULIAR ENERGETICS OF IRREVERSIBLE PATHS
JOINING EQUILIBRIUM STATES 211 6.2.3 TRANSPORT IN A FLUCTUATING
ENVIRONMENT FAR FROM EQUILIBRIUM .: .-. F. 214 6.3 ATMOSPHERIC DYNAMICS
* 217 6.3.1 LOW ORDER MODELS 218 6.3.2 MORE DETAILED MODELS 222 6.3.3
DATA ANALYSIS * 223 6.3.4 MODELING AND PREDICTING WITH PROBABILITIES 224
6.4 CLIMATE DYNAMICS 226 6.4.1 LOW ORDER CLIMATE MODELS 227 XIV CONTENTS
6.4.2 PREDICTABILITY OF METEOROLOGICAL VERSUS CLIMATIC FIELDS . 230
6.4.3 CLIMATIC CHANGE 233 6.5 NETWORKS 235 6.5.1 GEOMETRIC AND
STATISTICAL PROPERTIES OF NETWORKS . . . .236 6.5.2 DYNAMICAL ORIGIN OF
NETWORKS 239 6.5.3 DYNAMICS ON NETWORKS 244 6.6 PERSPECTIVES ON
BIOLOGICAL COMPLEXITY 247 6.6.1 NONLINEAR DYNAMICS AND SELF-ORGANIZATION
AT THE BIOCHEMICAL, CELLULAR AND ORGANISMIC LEVEL 249 6.6.2 BIOLOGICAL
SUPERSTRUCTURES 251 6.6.3 BIOLOGICAL NETWORKS 253 6.6.4 COMPLEXITY AND
THE GENOME ORGANIZATION 260 6.6.5 MOLECULAR EVOLUTION 263 6.7
EQUILIBRIUM VERSUS NONEQUILIBRIUM IN COMPLEXITY AND SELF-ORGANIZATION
267 6.7.1 NUCLEATION 268 6.7.2 STABILIZATION OF NANOSCALE PATTERNS 272
6.7.3 SUPRAMOLECULAR CHEMISTRY 274 6.8 EPISTEMOLOGICAL INSIGHTS FROM
COMPLEX SYSTEMS 276 6.8.1 COMPLEXITY, CAUSALITY AND CHANCE 277 6.8.2
COMPLEXITY AND HISTORICITY 279 6.8.3 COMPLEXITY AND REDUCTIONISM 283
6.8.4 FACTS, ANALOGIES AND METAPHORS 285 COLOR PLATES 287 SUGGESTIONS
FOR FURTHER READING 291 INDEX 321
|
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| author | Nicolis, Grégoire 1939-2018 Nicolis, Catherine |
| author_GND | (DE-588)172284880 |
| author_facet | Nicolis, Grégoire 1939-2018 Nicolis, Catherine |
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| bvnumber | BV035280094 |
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| ctrlnum | (OCoLC)634882342 (DE-599)BSZ288000188 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV035280094 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:19Z |
| institution | BVB |
| isbn | 9789812700438 9812700439 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017085316 |
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| owner_facet | DE-20 DE-355 DE-BY-UBR |
| physical | XIV, 328 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | World Scientific |
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| spelling | Nicolis, Grégoire 1939-2018 Verfasser (DE-588)172284880 aut Foundations of complex systems nonlinear dynamics, statistical physics, and prediction Grégoire Nicolis ; Catherine Nicolis New Jersey[u.a.] World Scientific 2007 XIV, 328 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Komplexes System (DE-588)4114261-5 gnd rswk-swf Komplexes System (DE-588)4114261-5 s DE-604 Nicolis, Catherine Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085316&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nicolis, Grégoire 1939-2018 Nicolis, Catherine Foundations of complex systems nonlinear dynamics, statistical physics, and prediction Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4114261-5 |
| title | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction |
| title_auth | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction |
| title_exact_search | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction |
| title_full | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction Grégoire Nicolis ; Catherine Nicolis |
| title_fullStr | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction Grégoire Nicolis ; Catherine Nicolis |
| title_full_unstemmed | Foundations of complex systems nonlinear dynamics, statistical physics, and prediction Grégoire Nicolis ; Catherine Nicolis |
| title_short | Foundations of complex systems |
| title_sort | foundations of complex systems nonlinear dynamics statistical physics and prediction |
| title_sub | nonlinear dynamics, statistical physics, and prediction |
| topic | Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Komplexes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085316&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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