Introduction to the Modeling and Analysis of Complex Systems

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2.5. A HISTORICAL PERSPECTIVE 25Exercise 2.6 Do a quick online literature search to find a few scientific articlesthat develop or use mathematical/computational models. Read the articles to learnmore about their models, and map them to the appropriate locations in Fig. 2.5.
Page 2 and 3: Introduction to the Modeling and An
Page 4 and 5: iiiAbout the TextbookIntroduction t
Page 6: New York. He is also a Fellow of th
Page 10 and 11: PrefaceThis is an introductory text
Page 12 and 13: a comprehensive view of the related
Page 14: Chen, Hal Lewis, Vlad Miskovic, Chu
Page 17 and 18: xviCONTENTS5 Discrete-Time Models I
Page 19 and 20: xviiiCONTENTS15.3 Constructing Netw
Page 22 and 23: Chapter 1Introduction1.1 Complex Sy
Page 24 and 25: 1.1. COMPLEX SYSTEMS IN A NUTSHELL
Page 26 and 27: 1.2. TOPICAL CLUSTERS 7The possibil
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Page 31 and 32: 12 CHAPTER 2. FUNDAMENTALS OF MODEL
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Page 48 and 49: Chapter 3Basics of Dynamical System
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Page 56 and 57: 4.2. CLASSIFICATIONS OF MODEL EQUAT
Page 58 and 59: 4.3. SIMULATING DISCRETE-TIME MODEL
Page 70 and 71: 4.5. BUILDING YOUR OWN MODEL EQUATI
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5.4. GRAPH-BASED PHASE SPACE VISUAL
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5.5. VARIABLE RESCALING 77g.add_edg
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5.5. VARIABLE RESCALING 79before ju
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5.6. ASYMPTOTIC BEHAVIOR OF DISCRET
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5.7. LINEAR STABILITY ANALYSIS OF D
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100 CHAPTER 6. CONTINUOUS-TIME MODE
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Chapter 7Continuous-Time Models II:
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7.2. PHASE SPACE VISUALIZATION 113s
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7.2. PHASE SPACE VISUALIZATION 115T
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7.2. PHASE SPACE VISUALIZATION 117t
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7.3. VARIABLE RESCALING 119was simp
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7.4. ASYMPTOTIC BEHAVIOR OF CONTINU
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7.4. ASYMPTOTIC BEHAVIOR OF CONTINU
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7.5. LINEAR STABILITY ANALYSIS OF N
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132 CHAPTER 8. BIFURCATIONSthe loca
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134 CHAPTER 8. BIFURCATIONSplot(dom
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136 CHAPTER 8. BIFURCATIONS105x_eq0
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138 CHAPTER 8. BIFURCATIONSThese bi
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140 CHAPTER 8. BIFURCATIONSrewritte
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142 CHAPTER 8. BIFURCATIONSDt = 0.0
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144 CHAPTER 8. BIFURCATIONSWith a =
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146 CHAPTER 8. BIFURCATIONSglobal x
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148 CHAPTER 8. BIFURCATIONS2.0r = 0
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150 CHAPTER 8. BIFURCATIONSdef init
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152 CHAPTER 8. BIFURCATIONSExercise
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154 CHAPTER 9. CHAOS2.52.01.51.00.5
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156 CHAPTER 9. CHAOS0.8Logistic map
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158 CHAPTER 9. CHAOS1.00.80.60.40.2
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160 CHAPTER 9. CHAOSreturn log(abs(
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162 CHAPTER 9. CHAOSThen explain in
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164 CHAPTER 9. CHAOSfigure()ax = gc
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166 CHAPTER 9. CHAOS20 15 10 05 051
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168 CHAPTER 9. CHAOScan’t cross,
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Part IIISystems with a Large Number
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174 CHAPTER 10. INTERACTIVE SIMULAT
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186 CHAPTER 11. CELLULAR AUTOMATA I
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Chapter 13Continuous Field Models I
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13.2. FUNDAMENTALS OF VECTOR CALCUL
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13.3. VISUALIZING TWO-DIMENSIONAL S
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13.3. VISUALIZING TWO-DIMENSIONAL S
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13.4. MODELING SPATIAL MOVEMENT 241
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13.5. SIMULATION OF CONTINUOUS FIEL
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13.6. REACTION-DIFFUSION SYSTEMS 25
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Chapter 14Continuous Field Models I
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14.1. FINDING EQUILIBRIUM STATES 27
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14.2. VARIABLE RESCALING 273Exercis
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14.3. LINEAR STABILITY ANALYSIS OF
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Chapter 15Basics of Networks15.1 Ne
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15.2. TERMINOLOGIES OF GRAPH THEORY
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15.3. CONSTRUCTING NETWORK MODELS W
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15.4. VISUALIZING NETWORKS WITH NET
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15.4. VISUALIZING NETWORKS WITH NET
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15.5. IMPORTING/EXPORTING NETWORK D
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15.6. GENERATING RANDOM GRAPHS 321s
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15.6. GENERATING RANDOM GRAPHS 323R
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Chapter 16Dynamical Networks I: Mod
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16.2. SIMULATING DYNAMICS ON NETWOR
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16.3. SIMULATING DYNAMICS OF NETWOR
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16.4. SIMULATING ADAPTIVE NETWORKS
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372CHAPTER 17. DYNAMICAL NETWORKS I
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Chapter 18Dynamical Networks III: A
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18.2. DIFFUSION ON NETWORKS 40718.2
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18.3. SYNCHRONIZABILITY 4092.749157
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18.3. SYNCHRONIZABILITY 411The firs
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18.3. SYNCHRONIZABILITY 413nextg =
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18.3. SYNCHRONIZABILITY 415(a)1.0(b
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18.5. MEAN-FIELD APPROXIMATION ON R
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18.5. MEAN-FIELD APPROXIMATION ON R
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18.6. MEAN-FIELD APPROXIMATION ON S
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Chapter 19Agent-Based Models19.1 Wh
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19.1. WHAT ARE AGENT-BASED MODELS?
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19.2. BUILDING AN AGENT-BASED MODEL
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19.3. AGENT-ENVIRONMENT INTERACTION
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19.4. ECOLOGICAL AND EVOLUTIONARY M
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Bibliography[1] H. A. Simon, “The
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BIBLIOGRAPHY 467[26] J. D. Sterman,
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BIBLIOGRAPHY 469[52] J. E. Pearson,
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BIBLIOGRAPHY 471[78] M. E. Newman a
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474 INDEXcomplex adaptive system, 8
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476 INDEXlinear system, 36lineariza
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478 INDEXstate-transition function,
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Introduction to the Modeling and Analysis of Complex Systems

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