SYNCHRONIZATION IN COMPLEX NETWORKS -- SYNCHRONIZATION IN COMPLEX NETWORKS -- CONTENTS -- PREFACE -- Chapter 1 SUMMARIZATION OF SYNCHRONIZATION IN COMPLEX NETWORK -- Abstract -- 1.1. Introduction -- 1.2. Basic Concept of Network -- 1.2.1. The Graph Description of Network -- 1.2.2. The Average Path Length -- 1.2.3. Clustering Coefficient -- 1.2.4. Betweenness -- 1.2.5. Assortative Coefficient -- 1.3. Complete Synchronization in Complex Network -- 1.3.1. Master Stability Function -- 1.3.2. Synchronization of Un-weighted Networks -- 1.3.3. Synchronization of Weighted Networks -- 1.3.3.1. Adjust Node Degree -- 1.3.3.2. Adjust Coupling Direction and Edge Information -- 1.3.3.3. Optimal Synchronization of Weighted Networks -- 1.3.3.4. Transition from Non-synchronization to Synchronization -- Chapter 2 ADAPTIVE SYNCHRONIZATION OF COMPLEX NETWORKS -- Abstract -- 2.1. Introduction -- 2.2. Adaptive Synchronization with Unknown Network Topologies -- 2.2. Local Synchronization -- 2.2.2. Global Synchronization -- 2.3 Adaptive Synchronization with Known Network Topologies -- 2.3.1. Global Information -- 2.3.2. Local Information -- 2.3.2. Vertex-based Strategy -- 2.3.2.2. Edge-based Strategy -- Chapter 3 CLUSTER SYNCHRONIZATION IN COMPLEX NETWORKS -- Abstract -- 3.1. Introduction -- 3.2. Select Appreciate Coupling Matrix -- 3.3. Add Simple Controllers -- 3.3.1. Local Stability Analysis -- 3.3.2. Global Stability Analysis -- 3.3.3. Simulation Results -- 3.4. Adaptive Cluster Synchronization of Complex Networks -- 3.4.1. Adaptive Strategy in Cluster Synchronization -- 3.4.2. Global Stability Analysis of Cluster Synchronization -- 3.4.3. Simulation Results -- 3.4.3.1. BA Scale-free Network without Noise -- 3.4.3.2. BA Scale-free Network with Noise -- 3.4.3. Nonidentical Oscillators -- Chapter 4 CONTROL OF COMPLEX DYNAMICAL NETWORKS -- Abstract.

4.1. Introduction -- 4.2. Control a General Dynamical Network to a Homogeneous Equilibrium Point -- 4.3. Control a General Dynamical Network to Synchronization State -- 4.4. Controllability of Pinning Control -- 4.5. Control a Network to a Heterogeneous Equilibrium Point -- 4.5.1. Open-loop Constant Control -- 4.5.2. Feedback Pinning Control -- 4.5.2.1. Local Stability Analysis -- 4.5.2.2. Global Stability Analysis -- 4.5.2.3. Simulation Results -- Chapter 5 SYNCHRONIZATION OF TIME VARYING COMPLEX NETWORKS -- Abstract -- 5.1. Introduction -- 5.2. Local Synchronization of Time Varying Complex Networks -- 5.3. Connection Graph Stability Method -- 5.3.1. Stability Analysis of Global Synchronization -- 5.3.2. Application of Connection Graph Stability Method -- 5.3.2.1. Average Model -- 5.3.2.2. Blinking Small World Network -- 5.4. Fast Switching Synchronization of Time Varying Complex Networks -- 5.4.1. Local Synchronization of Complex Networks -- 5.4.2. Global Synchronization of Directed Networks -- 5.4.2.1. Fixed Topology -- 5.4.2.2. Switching Topologies -- 5.4.4.3. Simulation Results -- ACKNOWLEDGMENTS -- REFERENCES -- INDEX -- Blank Page.