05132nam 2200625Ia 450 991084098300332120230721022510.01-282-68976-297866126897653-527-62800-23-527-62801-0(CKB)1000000000789824(EBL)482291(OCoLC)814515238(SSID)ssj0000342416(PQKBManifestationID)11261834(PQKBTitleCode)TC0000342416(PQKBWorkID)10285680(PQKB)10153924(MiAaPQ)EBC482291(EXLCZ)99100000000078982420071029d2009 uy 0engur|n|---|||||txtccrReviews of nonlinear dynamics and complexityVolume 2[electronic resource] /edited by Heinz Georg SchusterWeinheim Wiley-VCH ;[Chichester John Wiley, distributor]c20091 online resource (260 p.)Annual Reviews of Nonlinear Dynamics and Complexity (VCH) ;v.2Description based upon print version of record.3-527-40850-9 Includes bibliographical references and index.Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Human Mobility and Spatial Disease Dynamics; 1.1 Introduction and Motivation; 1.2 Quantitative Assessments of Human Mobility; 1.2.1 Preliminary Considerations; 1.2.2 The Lack of Scale in Human Mobility; 1.3 Statistical Properties and Scaling Laws in Multi-Scale Mobility Networks; 1.3.1 Scaling Laws in the Topological Features of Multi-Scale Transportation Networks; 1.4 Spatially Extended Epidemic Models; 1.4.1 Disease Dynamics in a Single Population; 1.4.1.1 The SIS Model; 1.5 Spatial Models1.5.1 Continuity Limit and Fractional Transport1.5.2 Limiting Cases; References; 2 Stochastic Evolutionary Game Dynamics; 2.1 Game Theory and Evolution; 2.2 The Replicator Dynamics; 2.3 Evolutionary Games in Finite Populations; 2.3.1 Stochastic Evolutionary Game Dynamics; 2.3.2 Fixation Probabilities; 2.3.3 Fixation Times; 2.3.3.1 Unconditional Fixation Time; 2.3.3.2 Conditional Fixation Times; 2.3.4 The Moran Process and Weak Selection; 2.3.5 The Fermi Process; 2.4 From Finite to Infinite Populations (and Back Again); 2.5 Applications; 2.5.1 The Prisoner's Dilemma; 2.5.2 Rock-Paper-Scissors2.5.3 Voluntary Public Goods Games2.5.4 Punishment; 2.6 Concluding Remarks; References; 3 Dynamic and Topological Interplay in Adaptive Networks; 3.1 Introduction; 3.2 Adaptive Networks: A Definition; 3.2.1 Basic Definitions of Graph Theory; 3.2.2 Dynamic and Evolving Networks; 3.2.3 Adaptive Networks; 3.3 Ubiquity of Adaptive Networks Across Disciplines; 3.4 Robust Self-Organization Toward Criticality in Boolean Networks; 3.5 Adaptive Connection Weights in Coupled Oscillator Networks; 3.5.1 Leadership and the Division of Labor; 3.5.2 Self-Organization Towards Synchronizability3.6 Cooperation in Games on Adaptive Networks3.6.1 Elevated Levels of Cooperation; 3.6.2 Struggle for Topological Position; 3.7 Dynamics and Phase Transitions in Opinion Formation and Epidemics; 3.7.1 Epidemiological Models; 3.7.2 Opinion Formation; 3.8 Summary, Synthesis and Outlook; 3.8.1 The Four Hallmarks of Adaptive Networks; 3.8.2 Adaptive Networks: Future Impacts; 3.8.3 Towards a Unifying Theory of Adaptive Networks; 3.8.4 Future Challenges; References; 4 Fractal Models of Earthquake Dynamics; 4.1 Introduction; 4.1.1 Earthquake Statistics; 4.1.2 Modeling Earthquake Dynamics4.1.3 Fractal Faults4.1.3.1 Fractal Geometry of Fault Surfaces; 4.1.3.2 Frequency-Size Distribution of Faults; 4.2 Two-Fractal Overlap Model; 4.2.1 The Model; 4.2.2 Analysis of the Time Series; 4.2.3 The Gutenberg-Richter Law; 4.2.4 The Omori Law; 4.2.5 Temporal Distribution of Magnitudes of an Aftershock Sequence; 4.3 Comparison with Observations; 4.3.1 The Gutenberg-Richter Law; 4.3.2 The Omori Law; 4.3.3 The Temporal Distribution of Aftershock Magnitudes; 4.4 Fiber Bundle Model of Earthquakes; 4.5 Summary and Discussion; C.1 Random Cantor Sets; C.2 Regular Sierpinski GasketsC.3 Random Sierpinski GasketsAdopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions represent the latest and most relevant findings.Annual Reviews of Nonlinear Dynamics and Complexity (VCH)Nonlinear theoriesComputational complexityNonlinear theories.Computational complexity.003.75Schuster Heinz Georg1943-48625MiAaPQMiAaPQMiAaPQBOOK9910840983003321Reviews of nonlinear dynamics and complexity4137258UNINA