Foundations of complex systems: emergence, information and predicition
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey, NY [u.a.]
World Scientific
2012
|
| Ausgabe: | 2. ed |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025103307&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XVI, 367 S. graph. Darst. 24 cm |
| ISBN: | 9789814366601 9814366609 |
Internformat
MARC
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| 001 | BV040247240 | ||
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| 100 | 1 | |a Nicolis, Grégoire |d 1939-2018 |e Verfasser |0 (DE-588)172284880 |4 aut | |
| 245 | 1 | 0 | |a Foundations of complex systems |b emergence, information and predicition |c Gregoire Nicolis ; Catherine Nicolis |
| 250 | |a 2. ed | ||
| 264 | 1 | |a New Jersey, NY [u.a.] |b World Scientific |c 2012 | |
| 300 | |a XVI, 367 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Nonlinear systems | |
| 650 | 4 | |a System analysis | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Nonlinear theories | |
| 700 | 1 | |a Nicolis, Cathy |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bamberg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025103307&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-025103307 | |
Datensatz im Suchindex
| _version_ | 1819278385643257856 |
|---|---|
| adam_text | Contents
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
Emergence of macroscopic order:
Rayleigh-Bénard
convection
............... 8
1.4.2
The challenge of prediction: atmospheric and
climatic variability
.................... 12
1.4.3
Information transfer and collective decision
making: food recruitment in ants
............ 16
1.4.4
Human systems
...................... 20
1.5
Slimming up
............................ 25
2
Deterministic View
27
2.1
Dynamical systems, phase space,
stability
.............................. 27
2.1.1
Conservative systems
................... 29
2.1.2
Dissipative systems
.................... 29
2.2
Levels of description
....................... 36
2.2.1
The microscopic level
................... 36
2.2.2
The macroscopic level
.................. 38
2.2.3
Thermodynamic formulation
............... 41
2.3
Normal forms
........................... 43
2.4
The limit of universality
..................... 48
2.5
Deterministic chaos
........................ 51
2.6
Emergence
............................. 55
2.7
Coupling-induced complexity
................... 57
2.8
Modeling complexity beyond physical
science
............................... 63
Contents
Probabilistic
Description
72
3.1
Need for a probabilistic approach
................ 72
3.2
Probability distributions and their
evolution laws
........................... 73
3.2.1
Mesoscopic-level description: Markov processes, mas¬
ter equation
........................ 75
3.2.2
The continuous time limit
................ 79
3.3
The retrieval of universality
................... 80
3.4
Complexity in the probabilistic
description
............................. 83
3.5
Emergence revisited
........................ 88
3.5.1
Emergence of a probabilistic description
........ 88
3.5.2
Emergence of a macroscopic-level deterministic descrip¬
tion of the mean-field type
................ 91
3.6
Transitions between states
.................... 94
3.7
Simulating complex systems
................... 99
3.7.1
Monte Carlo simulation
................. 100
3.7.2
Microscopic simulations
................. 101
3.7.3
Cellular automata
..................... 103
3.7.4
Agents and games
..................... 104
3.8
Disorder-generated complexity
.................. 105
Complexity, Entropy and Information
114
4.1
Information entropy
........................114
4.2
Dynamical entropies
.......................119
4.3
Information entropy production
.................121
4.4
Large deviations, fluctuation theorems
and the probabilistic properties of
time sequences
..........................124
4.5
Algorithmic complexity and computation
............128
4.6
Dynamical systems as information
sources: scaling rules and selection
...............132
4.7
Further information measures
..................140
4.8
Summing up
............................143
Prediction
149
5.1
Communicating with a Complex System
............149
5.2
Classical approaches and their limitations
............149
5.2.1
Exploratory data analysis
................150
5.2.2
Time series analysis and statistical forecasting
.....153
5.2.3
Sampling in time and in space
..............156
Contents xv
5.3
Nonlinear data analysis......................
157
5.3.1
Dynamical reconstruction
................157
5.3.2
Symbolic dynamics from time series
...........161
5.3.3
Nonlinear prediction
...................166
5.4
The monitoring of complex fields
................169
5.4.1
Optimizing an observational network
..........171
5.4.2
Data assimilation
.....................175
5.5
The predictability horizon
....................177
5.5.1
Growth of initial errors in absence
of model error
(δμ
— 0)..................180
5.5.2
Growth of model errors in absence
of initial error (u(0)
= 0)................. 184
5.5.3
Error dynamics under the effect of both initial and
model errors
........................ 185
5.5.4
Can prediction errors be controlled?
........... 185
5.6
Recurrence
............................. 187
5.6.1
Formulation
........................188
5.6.2
Recurrence time statistics and dynamical
complexity
.........................192
5.7
Extreme events
..........................196
5.7.1
Formulation
........................196
5.7.2
Statistical theory of extremes
..............199
5.7.3
Extreme events and dynamical complexity
.......201
5.7.4
Statistical and dynamical aspects of the Hurst phe¬
nomenon
..........................207
6
Selected Topics
214
6.1
The arrow of time
.........................214
6.1.1
The Maxwell-Boltzmann revolution, kinetic
theory, Boltzmann s equation
..............215
6.1.2
First resolution of the paradoxes: Markov
processes, master equation
................219
6.1.3
Generalized kinetic theories
...............221
6.1.4
Microscopic chaos and nonequilibrium statistical me¬
chanics
...........................223
6.2
Nanosystems
...........................227
6.2.1
Fluctuation dynamics in nonequilibrium steady states
revisited: exorcising Maxwell s demon
..........229
6.2.2
The probabilistic properties of mechanical work
. . . .231
6.2.3
Transport in a fluctuating environment far from equi¬
librium
...........................233
xvi Contents
6.3
Atmospheric dynamics
......................237
6.3.1
The butterfly effect
.................... 237
6.3.2
Numerical weather prediction models
.......... 238
6.3.3
Low order models
..................... 240
6.3.4
Data analysis
....................... 243
6.3.5
Modeling and predicting with probabilities
....... 244
6.3.6
Prom facts to fiction
................... 247
6.4
Climate dynamics
......................... 248
6.4.1
Climate models
......................250
6.4.2
Climatic change
......................253
6.5
Networks
..............................255
6.5.1
Geometric and statistical properties of networks
.... 256
6.5.2
Dynamical systems as networks
.............259
6.5.3
Dynamics on networks. Stability versus
complexity
.........................265
6.6
Perspectives on biological complexity
..............268
6.6.1
Nonlinear dynamics and self-organization at the bio¬
chemical, cellular, organismic and global level
.....269
6.6.2
Biological networks
....................273
6.6.3
Complexity and the genome organization
........280
6.6.4
Molecular evolution
....................283
6.7
Equilibrium versus nonequilibrium in
complexity and self-organization
.................288
6.7.1
Nucleation
.........................289
6.7.2
Stabilization of nanoscale patterns
...........292
6.7.3
Supramolecular chemistry
................295
6.8
Epistemological insights from complex
systems
..............................296
6.8.1
Complexity, causality and chance
............297
6.8.2
Complexity and historicity
................299
6.8.3
Complexity and reductionism
..............303
6.9
Outlook. The future of complexity
...............306
Color plates
Suggestions for further reading
315
Index
|
| any_adam_object | 1 |
| author | Nicolis, Grégoire 1939-2018 Nicolis, Cathy |
| author_GND | (DE-588)172284880 |
| author_facet | Nicolis, Grégoire 1939-2018 Nicolis, Cathy |
| author_role | aut aut |
| author_sort | Nicolis, Grégoire 1939-2018 |
| author_variant | g n gn c n cn |
| building | Verbundindex |
| bvnumber | BV040247240 |
| classification_rvk | QH 700 |
| ctrlnum | (OCoLC)796279653 (DE-599)BVBBV040247240 |
| discipline | Wirtschaftswissenschaften |
| edition | 2. ed |
| format | Book |
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| id | DE-604.BV040247240 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:10:43Z |
| institution | BVB |
| isbn | 9789814366601 9814366609 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025103307 |
| oclc_num | 796279653 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-83 DE-29T |
| owner_facet | DE-473 DE-BY-UBG DE-83 DE-29T |
| physical | XVI, 367 S. graph. Darst. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Nicolis, Grégoire 1939-2018 Nicolis, Cathy Foundations of complex systems emergence, information and predicition Nonlinear systems System analysis Computational complexity Nonlinear theories |
| title | Foundations of complex systems emergence, information and predicition |
| title_auth | Foundations of complex systems emergence, information and predicition |
| title_exact_search | Foundations of complex systems emergence, information and predicition |
| title_full | Foundations of complex systems emergence, information and predicition Gregoire Nicolis ; Catherine Nicolis |
| title_fullStr | Foundations of complex systems emergence, information and predicition Gregoire Nicolis ; Catherine Nicolis |
| title_full_unstemmed | Foundations of complex systems emergence, information and predicition Gregoire Nicolis ; Catherine Nicolis |
| title_short | Foundations of complex systems |
| title_sort | foundations of complex systems emergence information and predicition |
| title_sub | emergence, information and predicition |
| topic | Nonlinear systems System analysis Computational complexity Nonlinear theories |
| topic_facet | Nonlinear systems System analysis Computational complexity Nonlinear theories |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025103307&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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