Reviews of Nonlinear Dynamics and Complexity

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9783527408504 | 3527408509
Cover: Hardcover
Copyright: 6/8/2009

Rent

(Recommended)

$141.88

Term

Due

Price

Semester

Dec 13

$157.65

Quarter

Aug 20

$149.77

Short Term

Jul 26

$141.88

*This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.
Buy New

Currently Available, Usually Ships in 24-48 Hours

$215.39

Nonlinear behaviour is ubiquitous in nature and the interdisciplinary field of Nonlinear Dynamics and Complexity consists of a large body of theoretical and experimental work with many applications. It is the aim of these new series to provide Reviews of Nonlinear Dynamics and Complexity where researchers or newcomers to the field can find the most important up to date results, described in a fashion which breaks the barriers between the disciplines. Volume 2 covers the following topics:

Preface	p. IX
List of Contributors	p. XI
Human Mobility and Spatial Disease Dynamics	p. 1
Introduction and Motivation	p. 1
Quantitative Assessments of Human Mobility	p. 3
Preliminary Considerations	p. 3
The Lack of Scale in Human Mobility	p. 5
Statistical Properties and Scaling Laws in Multi-Scale Mobility Networks	p. 8
Scaling Laws in the Topological Features of Multi-Scale Transportation Networks	p. 10
Spatially Extended Epidemic Models	p. 12
Disease Dynamics in a Single Population	p. 13
The SIS Model	p. 14
Spatial Models	p. 15
Continuity Limit and Fractional Transport	p. 18
Limiting Cases	p. 20
References	p. 23
Stochastic Evolutionary Game Dynamics	p. 25
Game Theory and Evolution	p. 25
The Replicator Dynamics	p. 26
Evolutionary Games in Finite Populations	p. 29
Stochastic Evolutionary Game Dynamics	p. 29
Fixation Probabilities	p. 31
Fixation Times	p. 34
Unconditional Fixation Time	p. 34
Conditional Fixation Times	p. 36
The Moran Process and Weak Selection	p. 37
The Fermi Process	p. 41
From Finite to Infinite Populations (and Back Again)	p. 43
Applications	p. 46
The Prisoner's Dilemma	p. 47
Rock-Paper-Scissors	p. 49
Voluntary Public Goods Games	p. 51
Punishment	p. 54
Concluding Remarks	p. 56
References	p. 57
Dynamic and Topological Interplay in Adaptive Networks	p. 63
Introduction	p. 63
Adaptive Networks: A Definition	p. 66
Basic Definitions of Graph Theory	p. 66
Dynamic and Evolving Networks	p. 68
Adaptive Networks	p. 70
Ubiquity of Adaptive Networks Across Disciplines	p. 72
Robust Self-Organization Toward Criticality in Boolean Networks	p. 76
Adaptive Connection Weights in Coupled Oscillator Networks	p. 79
Leadership and the Division of Labor	p. 79
Self-Organization Towards Synchronizability	p. 82
Cooperation in Games on Adaptive Networks	p. 84
Elevated Levels of Cooperation	p. 84
Struggle for Topological Position	p. 87
Dynamics and Phase Transitions in Opinion Formation and Epidemics	p. 88
Epidemiological Models	p. 88
Opinion Formation	p. 97
Summary, Synthesis and Outlook	p. 98
The Four Hallmarks of Adaptive Networks	p. 99
Adaptive Networks: Future Impacts	p. 100
Towards a Unifying Theory of Adaptive Networks	p. 101
Future Challenges	p. 103
References	p. 103
Fractal Models of Earthquake Dynamics	p. 107
Introduction	p. 107
Earthquake Statistics	p. 107
Modeling Earthquake Dynamics	p. 108
Fractal Faults	p. 110
Fractal Geometry of Fault Surfaces	p. 110
Frequency-Size Distribution of Faults	p. 111
Two-Fractal Overlap Model	p. 115
The Model	p. 115
Analysis of the Time Series	p. 117
The Gutenberg-Richter Law	p. 119
The Omori Law	p. 121
Temporal Distribution of Magnitudes of an Aftershock Sequence	p. 123
Comparison with Observations	p. 125
The Gutenberg-Richter Law	p. 125
The Omori Law	p. 127
The Temporal Distribution of Aftershock Magnitudes	p. 127
Fiber Bundle Model of Earthquakes	p. 137
Summary and Discussion	p. 139
Random Cantor Sets	p. 148
Regular Sierpinski Gaskets	p. 149
Random Sierpinski Gaskets	p. 152
Percolating Clusters in a Square Lattice	p. 152
References	p. 155
Epilepsy	p. 159
Introduction	p. 159
Computational Models in Epilepsy Research	p. 165
From Microscopic to Macroscopic Modeling Approaches	p. 166
Modeling Epileptic Phenomena	p. 168
Measuring Interactions in Epileptic Networks	p. 171
Bivariate Time Series Analysis	p. 173
Multivariate Time-Series Analysis	p. 179
Conclusion	p. 183
References	p. 184
Structure in Networks	p. 201
Introduction	p. 201
Multivariate Data Versus Relational Data	p. 203
Clustering	p. 203
Dimensionality Reduction	p. 208
A New Quality Function for Structure Recognition in Networks	p. 210
The Optimal Image Graph	p. 213
Choice of a Penalty Function and Null Model	p. 214
Benchmark	p. 216
Clusters, Modularity and Graph Partitioning	p. 217
Modularity of Random Networks: Replica Method	p. 218
Modularity of Random Networks: Cavity Method	p. 222
Conclusion	p. 234
References	p. 236
Index	p. 239
Table of Contents provided by Ingram. All Rights Reserved.

Please wait while the item is added to your bag...

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Reviews of Nonlinear Dynamics and Complexity

Summary

Author Biography

Table of Contents

Supplemental Materials