Complex and adaptive dynamical systems: a primer
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
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| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 325 S. Ill., graph. Darst. |
| ISBN: | 9783642047053 |
Internformat
MARC
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| 245 | 1 | 0 | |a Complex and adaptive dynamical systems |b a primer |c Claudius Gros |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2011 | |
| 300 | |a XIV, 325 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Adaptives System |0 (DE-588)4247928-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Komplexes System |0 (DE-588)4114261-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Komplexes System |0 (DE-588)4114261-5 |D s |
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| 689 | 0 | 2 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
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Datensatz im Suchindex
| _version_ | 1804143496981905408 |
|---|---|
| adam_text | CONTENTS 1 GRAPH THEORY AND SMALL-WORLD NETWORKS 1 1.1 GRAPH THEORY AND
REAL-WORLD NETWORKS 1 1.1.1 THE SMALL-WORLD EFFECT 1 1.1.2 BASIC
GRAPH-THEORETICAL CONCEPTS 3 1.1.3 PROPERTIES OF RANDOM GRAPHS 8 1.2
GENERALIZED RANDOM GRAPHS 14 1.2.1 GRAPHS WITH ARBITRARY DEGREE
DISTRIBUTIONS 14 1.2.2 PROBABILITY GENERATING FUNCTION FORMALISM 19
1.2.3 DISTRIBUTION OF COMPONENT SIZES 21 1.3 ROBUSTNESS OF RANDOM
NETWORKS 24 1.4 SMALL-WORLD MODELS 28 1.5 SCALE-FREE GRAPHS 30 EXERCISES
36 FURTHER READING 37 2 CHAOS, BIFURCATIONS AND DIFFUSION 39 2. 1 BASIC
CONCEPTS OF DYNAMICAL SYSTEMS THEORY 39 2.2 THE LOGISTIC MAP AND
DETERMINISTIC CHAOS 45 2.3 DISSIPATION AND ADAPTION 50 2.3.1 DISSIPATIVE
SYSTEMS AND STRANGE ATTRACTORS 50 2.3.2 ADAPTIVE SYSTEMS 55 2.4
DIFFUSION AND TRANSPORT 59 2.4.1 RANDOM WALKS, DIFFUSION AND LEVY
FLIGHTS 60 2.4.2 THE LANGEVIN EQUATION AND DIFFUSION 63 2.5
NOISE-CONTROLLED DYNAMICS 66 2.5.1 STOCHASTIC ESCAPE 66 2.5.2 STOCHASTIC
RESONANCE 69 2.6 DYNAMICAL SYSTEMS WITH TIME DELAYS 73 EXERCISES 76
FURTHER READING 77 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/1002586623 DIGITALISIERT DURCH I CONTENTS COMPLEXITY
AND INFORMATION THEORY 79 3.1 PROBABILITY DISTRIBUTION FUNCTIONS 79
3.1.1 THE LAW OF LARGE NUMBERS 83 3.1.2 TIME SERIES CHARACTERIZATION 84
3.2 ENTROPY AND INFORMATION 87 3.2.1 INFORMATION CONTENT OF A REAL-WORLD
TIME SERIES 93 3.2.2 MUTUAL INFORMATION 95 3.3 COMPLEXITY MEASURES 100
3.3.1 COMPLEXITY AND PREDICTABILITY 101 3.3.2 ALGORITHMIC AND GENERATIVE
COMPLEXITY 104 EXERCISES 106 FURTHER READING 107 RANDOM BOOLEAN NETWORKS
109 4.1 INTRODUCTION 109 4.2 RANDOM VARIABLES AND NETWORKS ILL 4.2.1
BOOLEAN VARIABLES AND GRAPH TOPOLOGIES ILL 4.2.2 COUPLING FUNCTIONS 113
4.2.3 DYNAMICS 115 4.3 THE DYNAMICS OF BOOLEAN NETWORKS 116 4.3.1 THE
FLOW OF INFORMATION THROUGH THE NETWORK 117 4.3.2 THE MEAN-FIELD PHASE
DIAGRAM 119 4.3.3 THE BIFURCATION PHASE DIAGRAM 121 4.3.4 SCALE-FREE
BOOLEAN NETWORKS 125 4.4 CYCLES AND ATTRACTORS 127 4.4.1 QUENCHED
BOOLEAN DYNAMICS 127 4.4.2 THE K = 1 KAUFFMAN NETWORK 130 4.4.3 THE K =
2 KAUFFMAN NETWORK 132 4.4.4 THE K = N KAUFFMAN NETWORK 132 4.5
APPLICATIONS 135 4.5.1 LIVING AT THE EDGE OF CHAOS 135 4.5.2 THE YEAST
CELL CYCLE 136 4.5.3 APPLICATION TO NEURAL NETWORKS 139 EXERCISES 140
FURTHER READING 141 CELLULAR AUTOMATA AND SELF-ORGANIZED CRITICALITY 145
5. CONTENTS 5.5 RANDOM BRANCHING THEORY 161 5.5.1 BRANCHING THEORY OF
SELF-ORGANIZED CRITICALITY 161 5.5.2 GALTON-WATSON PROCESSES 166 5.6
APPLICATION TO LONG-TERM EVOLUTION 168 EXERCISES 175 FURTHER READING 176
DARWINIAN EVOLUTION, HYPERCYCLES AND GAME THEORY 179 6.1 INTRODUCTION
179 6.2 MUTATIONS AND FITNESS IN A STATIC ENVIRONMENT 181 6.3
DETERMINISTIC EVOLUTION 185 6.3.1 EVOLUTION EQUATIONS 185 6.3.2 BEANBAG
GENETICS - EVOLUTIONS WITHOUT EPISTASIS 189 6.3.3 EPISTATIC INTERACTIONS
AND THE ERROR CATASTROPHE 191 6.4 FINITE POPULATIONS AND STOCHASTIC
ESCAPE 195 6.4.1 STRONG SELECTIVE PRESSURE AND ADAPTIVE CLIMBING 196
6.4.2 ADAPTIVE CLIMBING VERSUS STOCHASTIC ESCAPE 199 6.5 PREBIOTIC
EVOLUTION 201 6.5.1 QUASISPECIES THEORY 201 6.5.2 HYPERCYCLES AND
AUTOCATALYTIC NETWORKS 202 6.6 COEVOLUTION AND GAME THEORY 206 EXERCISES
211 FURTHER READING 212 SYNCHRONIZATION PHENOMENA 215 7.1 FREQUENCY
LOCKING 215 7.2 SYNCHRONIZATION OF COUPLED OSCILLATORS 216 7.3
SYNCHRONIZATION WITH TIME DELAYS 223 7.4 SYNCHRONIZATION VIA AGGREGATE
AVERAGING 225 7.5 SYNCHRONIZATION VIA CAUSAL SIGNALING 229 7.6
SYNCHRONIZATION AND OBJECT RECOGNITION IN NEURAL NETWORKS 233 7.7
SYNCHRONIZATION PHENOMENA IN EPIDEMICS 236 EXERCISES 240 FURTHER READING
241 ELEMENTS OF COGNITIVE SYSTEMS THEORY 24 X CONTENTS 8.4 COMPETITIVE
DYNAMICS AND WINNING COALITIONS 261 8.4.1 GENERAL CONSIDERATIONS 262
8.4.2 ASSOCIATIVE THOUGHT PROCESSES 266 8.4.3 AUTONOMOUS ONLINE LEARNING
270 8.5 ENVIRONMENTAL MODEL BUILDING 273 8.5.1 THE ELMAN SIMPLE
RECURRENT NETWORK 273 8.5.2 UNIVERSAL PREDICTION TASKS 277 EXERCISES 279
FURTHER READING 280 9 SOLUTIONS 283 SOLUTIONS TO THE EXERCISES OF
CHAPTER 1 283 SOLUTIONS TO THE EXERCISES OF CHAPTER 2 289 SOLUTIONS TO
THE EXERCISES OF CHAPTER 3 292 SOLUTIONS TO THE EXERCISES OF CHAPTER 4
298 SOLUTIONS TO THE EXERCISES OF CHAPTER 5 301 SOLUTIONS TO THE
EXERCISES OF CHAPTER 6 305 SOLUTIONS TO THE EXERCISES OF CHAPTER 7 309
SOLUTIONS TO THE EXERCISES OF CHAPTER 8 312 INDEX 315
|
| any_adam_object | 1 |
| author | Gros, Claudius 1961- |
| author_GND | (DE-588)134168461 |
| author_facet | Gros, Claudius 1961- |
| author_role | aut |
| author_sort | Gros, Claudius 1961- |
| author_variant | c g cg |
| building | Verbundindex |
| bvnumber | BV036803827 |
| classification_rvk | UG 3900 |
| ctrlnum | (OCoLC)700337782 (DE-599)DNB1002586623 |
| dewey-full | 003.7 530.15539 |
| dewey-hundreds | 000 - Computer science, information, general works 500 - Natural sciences and mathematics |
| dewey-ones | 003 - Systems 530 - Physics |
| dewey-raw | 003.7 530.15539 |
| dewey-search | 003.7 530.15539 |
| dewey-sort | 13.7 |
| dewey-tens | 000 - Computer science, information, general works 530 - Physics |
| discipline | Physik Allgemeines Informatik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV036803827 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:48:36Z |
| institution | BVB |
| isbn | 9783642047053 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020719945 |
| oclc_num | 700337782 |
| open_access_boolean | |
| owner | DE-11 DE-20 DE-473 DE-BY-UBG DE-91G DE-BY-TUM |
| owner_facet | DE-11 DE-20 DE-473 DE-BY-UBG DE-91G DE-BY-TUM |
| physical | XIV, 325 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| spelling | Gros, Claudius 1961- Verfasser (DE-588)134168461 aut Complex and adaptive dynamical systems a primer Claudius Gros 2. ed. Berlin [u.a.] Springer 2011 XIV, 325 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dynamisches System (DE-588)4013396-5 gnd rswk-swf Adaptives System (DE-588)4247928-9 gnd rswk-swf Komplexes System (DE-588)4114261-5 gnd rswk-swf Komplexes System (DE-588)4114261-5 s Adaptives System (DE-588)4247928-9 s Dynamisches System (DE-588)4013396-5 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-04706-0 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020719945&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gros, Claudius 1961- Complex and adaptive dynamical systems a primer Dynamisches System (DE-588)4013396-5 gnd Adaptives System (DE-588)4247928-9 gnd Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4247928-9 (DE-588)4114261-5 |
| title | Complex and adaptive dynamical systems a primer |
| title_auth | Complex and adaptive dynamical systems a primer |
| title_exact_search | Complex and adaptive dynamical systems a primer |
| title_full | Complex and adaptive dynamical systems a primer Claudius Gros |
| title_fullStr | Complex and adaptive dynamical systems a primer Claudius Gros |
| title_full_unstemmed | Complex and adaptive dynamical systems a primer Claudius Gros |
| title_short | Complex and adaptive dynamical systems |
| title_sort | complex and adaptive dynamical systems a primer |
| title_sub | a primer |
| topic | Dynamisches System (DE-588)4013396-5 gnd Adaptives System (DE-588)4247928-9 gnd Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Dynamisches System Adaptives System Komplexes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020719945&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT grosclaudius complexandadaptivedynamicalsystemsaprimer |