Chaos and Complexity Research Compendium, Volume 1

CHAOS AND COMPLEXITY RESEARCH COMPENDIUM, VOLUME 1......Page 4
CONTENTS......Page 6
PREFACE......Page 8
A State of the Art......Page 9
Complexity in Metaphor......Page 10
Dynamical Systems Theory......Page 11
Variation and Selection......Page 12
Our Mission......Page 13
References......Page 14
CHAPTER 2  MEMORIAL:  ILYA PRIGOGINE AND HIS LAST WORKS......Page 17
1. Introduction......Page 21
2. Weakly Coupled Gas......Page 23
3. The Λ Transformation......Page 24
4. H -function......Page 26
5. Effects of Velocity Rotations......Page 28
6. Comparison with the Twin Effect......Page 30
References......Page 32
Abstract......Page 35
1. Introduction......Page 36
2. The Typology of Causality......Page 37
3. Level 3 - Macroscopic: The Circular Causality of Intentionality......Page 38
4. Level 2 - Mesoscopic: The Circular Causality of Reafference......Page 39
5. Level 1 - Microscopic: Circular Causality among Neurons 

and Neural Masses......Page 43
6. Circular Causality in Awareness......Page 46
7. Consciousness Viewed as a System Parameter Controlling 

Chaos......Page 48
Acknowledgments......Page 50
References......Page 51
Overview......Page 55
Types and Amount of Data......Page 56
Probability Density Functions......Page 57
Structure of Behavioral Measurements......Page 58
Nonlinear Statistical Model......Page 59
Lyapunov Models......Page 61
Linear Contrasts......Page 62
Testing Catastrophes through Nonlinear Regression......Page 63
Examples on Record......Page 65
References......Page 66
I. Introduction......Page 69
A. Synchronization in Arbitrary, Coupled Systems......Page 72
B. Beyond Linear Coupling......Page 76
C. Networks and Graph Theory......Page 77
B. Eigenvalues of Pristine Cycles......Page 81
C. Eigenvalues of Smallworld Cycles......Page 84
A. Generation of Scale-Free Networks......Page 85
B. Eigenvalues of Pristine Scale-Free Networks......Page 86
C. Eigenvalues of Scale-Free Networks......Page 87
VI. Conclusions......Page 90
References......Page 91
Abstract......Page 93
1.1. Introduction......Page 94
1.1.1. On Document Based Knowledge......Page 95
1.1.2. Change:  From Threat to Challenge......Page 96
2.1. Documentation Visualization as a Teaching and Learning 

Opportunity......Page 98
2.1.2. Visualization of Document Based Reasoning......Page 100
3.1. On “Transmission Documental Holograms” and “Reflection 

Documental Holograms”......Page 102
3.1.1. Enhanced Encoding Procedures for Documentation Visualization......Page 103
3.1.2. On Continuity and Change......Page 109
4. Conclusions......Page 110
References......Page 111
1. Introduction......Page 113
2. Profitability and Compatibility......Page 114
3. Sustainability......Page 116
4. An Example......Page 117
5. Conclusions......Page 120
References......Page 121
1. Introduction......Page 123
2. Dynamical Networks......Page 124
3. Prediction of Future Evolution......Page 127
4. Cross Prediction......Page 128
5. Conclusion......Page 129
References......Page 130
1. Introduction......Page 131
1.2. How Dynamic Are Mental Diseases?......Page 132
2. Metaphors......Page 133
2.2. Dynamical Metaphors for the Psychotherapeutic Processes......Page 134
3. Qualitative......Page 135
3.1. Gradient Systems......Page 136
3.2.1. Models of Syndromes......Page 138
3.3. Conclusion......Page 139
4.2. Time Series Analysis......Page 140
4.2.1. Brain Dynamics......Page 141
4.2.2. Symptoms Dynamics and Therapies......Page 142
4.2.4. Clinical Interviews......Page 143
4.3. Conclusion......Page 144
5. Conclusion......Page 145
References......Page 146
Abstract......Page 157
1. Introduction......Page 158
2. Some Models of Collective Behaviours in Biological Systems......Page 159
3. A New Approach to Collective Behaviour Description 

and a Prototypical Example......Page 160
References......Page 164
Abstract......Page 167
Spectral Analysis......Page 168
Chaos and Noise in the Electroencephalogram......Page 170
References......Page 177
1. Introduction......Page 179
2. Baker’s Transform in Ψ-Space......Page 180
3. Aesthetic Unstability Initiates Bifurcation......Page 183
4. Self-Similarity in Art Space......Page 190
5. Hierarchy of Complexity......Page 194
6. Conclusion......Page 199
Artworks in Figure 14......Page 200
References......Page 201
CHAPTER 14  THE MYTH OF THE TOWER OF BABYLON AS A SYMBOL OF CREATIVE CHAOS......Page 203
CHAPTER 15  CHAOS AND COMPLEXITY IN ARTS AND ARCHITECTURE......Page 207
References......Page 213
CHAPTER 16  COMPLEXITY AND CHAOS THEORY IN ART......Page 215
References......Page 235
Introduction......Page 237
1. Pollock’s Dripped Complexity......Page 239
2. Fractal Aesthetics......Page 243
3. Mondrian’s Simplicity......Page 244
4. Discussion......Page 246
References......Page 247
Non-Linear Models Perception of Ambiguous Patterns......Page 251
Visual Ambiguity in Art......Page 255
Semantic Ambiguity of Visual Scenes......Page 257
Semantic Ambiguity in Plot Development and in Comic Situations......Page 258
Ambiguity of Sculpture......Page 260
Ambiguity of Acting......Page 261
References......Page 262
CHAPTER 19  DOES THE COMPLEXITY OF SPACE LIE IN THE COSMOS OR IN CHAOS?......Page 263
CHAPTER 20  CRYSTAL AND FLAME/FORM AND PROCESS THE MORPHOLOGY OF THE AMORPHOUS......Page 267
Introduction......Page 268
Primordial Seeds......Page 269
A. Complex Tissue of Events......Page 271
Works-in-Process......Page 273
The Garden of Phenomeno-logical Paths......Page 275
The Crossings Workshop......Page 277
An Intermingling of X, Y, and Z Co-ordination......Page 279
Conclusion......Page 283
References......Page 284
Bibliography......Page 285
Abstract......Page 287
Material and Methods......Page 288
Information Dimension......Page 289
Mass Dimension......Page 291
Results and Discussion......Page 292
References......Page 295
CHAPTER 22  NEW PARADIGM ARCHITECTURE......Page 297
Introduction......Page 303
The Model......Page 305
Results......Page 308
Discussion......Page 310
Conclusion......Page 312
References......Page 313
Abstract......Page 315
Image Compression......Page 316
1.3. Are Urban Patterns Autosimilar?......Page 317
2.2. General Processing Scheme......Page 319
Direct or Asymmetric Fusion......Page 320
Pavement-Based Fusion......Page 322
Adjusting IFS Scale for Detail Filtering......Page 323
3.1. Towards Urban Shapes Interpretation and Classification......Page 324
3.2. Simplifying and Smoothing Generated Shapes......Page 325
4.1. Discussion......Page 326
4.2. Remaining Investigations......Page 327
References......Page 328
1. Introduction......Page 329
3.1. Random 2D – 3D Generators......Page 330
Graphtal or L-System, Applied to Local Building and Block Propagation......Page 332
Random or Pseudo-Random “Hull-Filling” Generators for Single-Building Construction......Page 333
3.4. Multi-Scale Pattern Generator......Page 335
References......Page 337
1. Introduction......Page 339
2. Control of Chaos in the Brain by Sinusoidal or Periodic Pulsed 

Force......Page 340
3. Model of Music Tonality......Page 342
4. Stable States of Tonalities and Resonance Action......Page 343
References......Page 344
Abstract......Page 347
What Do We See and How Are We Telling This Story?......Page 348
Machines......Page 350
Presentation and Representation......Page 351
Machine Aesthetics......Page 352
Redundant and Similar Information......Page 354
Image Acknowledgments......Page 355
Internet......Page 356
INDEX......Page 357