Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems -- Contents -- Preface -- 1. Introduction -- Part 1: Synchronization and Clustering of Periodic Oscillators -- 2. Ensembles of Identical Phase Oscillators -- 2.1 Coupled Periodic Oscillators -- 2.2 Global Coupling and Full Synchronization -- 2.3 Clustering -- 2.4 Other Interaction Models -- 3. Heterogeneous Ensembles and the Effects of Noise -- 3.1 Transition to Frequency Synchronization -- 3.2 Frequency Clustering -- 3.3 Fluctuating Forces -- 3.4 Time-Delayed Interactions -- 4. Oscillator Networks -- 4.1 Regular Lattices with Local Interactions -- 4.1.1 Heterogeneous ensembles -- 4.2 Random Interaction Architectures -- 4.2.1 Frustrated interactions -- 4.3 Time Delays -- 4.3.1 Periodic linear arrays -- 4.3.2 Local interactions with uniform delay -- 5. Arrays of Limit-Cycle Oscillators -- 5.1 Synchronization of Weakly Nonlinear Oscillators -- 5.1.1 Oscillation death due to time delays -- 5.2 Complex Global Coupling -- 5.3 Non-local Coupling -- Part 2: Synchronization and Clustering in Chaotic Systems -- 6. Chaos and Synchronization -- 6.1 Chaos in Simple Systems -- 6.1.1 Lyapunov exponents -- 6.1.2 Phase and amplitude in chaotic systems -- 6.2 Synchronization of Two Coupled Maps -- 6.2.1 Saw-tooth maps -- 6.3 Synchronization of Two Coupled Oscillators -- 6.3.1 Phase synchronization -- 6.3.2 Lag synchronization -- 6.3.3 Synchronization in the Lorenz system -- 7. Synchronization in Populations of Chaotic Elements -- 7.1 Ensembles of Identical Oscillators -- 7.1.1 Master stability functions -- 7.1.2 Synchronizability of arbitrary connection topologies -- 7.2 Partial Entrainment in Rossler Oscillators -- 7.2.1 Phase synchronization -- 7.3 Logistic Maps -- 7.3.1 Globally coupled logistic maps -- 7.3.2 Heterogeneous ensembles -- 7.3.3 Coupled map lattices -- 8. Clustering.

8.1 Dynamical Phases of Globally Coupled Logistic Maps -- 8.1.1 Two-cluster solutions -- 8.1.2 Clustering phase of globally coupled logistic maps -- 8.1.3 Turbulent phase -- 8.2 Universality Classes and Collective Behavior in Chaotic Maps -- 8.3 Randomly Coupled Logistic Maps -- 8.4 Clustering in the Rossler System -- 8.5 Local Coupling -- 9. Dynamical Glasses -- 9.1 Introduction to Spin Glasses -- 9.2 Globally Coupled Logistic Maps as Dynamical Glasses -- 9.3 Replicas and Overlaps in Logistic Maps -- 9.4 The Thermodynamic Limit -- 9.5 Overlap Distributions and Ultrametricity -- Part 3: Selected Applications -- 10. Chemical Systems -- 10.1 Arrays of Electrochemical Oscillators -- 10.1.1 Periodic oscillators -- 10.1.2 Chaotic oscillators -- 10.2 Catalytic Surface Reactions -- 10.2.1 Experiments with global delayed feedback -- 10.2.2 Numerical simulations -- 10.2.3 Complex Ginzburg-Landau equation with global delayed feedback -- 11. Biological Cells -- 11.1 Glycolytic Oscillations -- 11.2 Dynamical Clustering and Cell Differentiation -- 11.3 Synchronization of Molecular Machines -- 12. Neural Networks -- 12.1 Neurons -- 12.2 Synchronization in the brain -- 12.3 Cross-coupled neural networks -- Bibliography -- Index.