Synchronization in Oscillatory Networks

Part I. Basics on Synchronization and Paradigmatic Models

1. Introduction

2. Basic Models

3. Synchronization Due to External Periodic Forcing

4. Synchronization of Two Coupled Systems

2. Synchronization in Geometrically Regular Ensembles

5. Ensembles of Phase Oscillators

6. Chains of Coupled Limit-Cycle Oscillators

7. Ensembles of Chaotic Oscillators with a Periodic-Doubling Route to Chaos, R#x00F6;ssler Oscillators

8. Intermittent-Like Oscillations in Chains of Coupled Maps

9. Regular and Chaotic Phase Synchronization of Coupled Circle Maps

10. Controlling Phase Synchronization in Oscillatory Networks

11. Chains of Limit-Cycle Oscillators

12. Chains and Lattices of Excitable Luo–Rudy Systems

3. Synchronization in Complex Networks and Influence of Noise

13. Noise-Induced Synchronization in Ensembles of Oscillatory and Excitable Systems

14. Networks with Complex Topology

Keywords: Physics, Complexity, Dynamical Systems and Ergodic Theory, Game Theory, Economics, Social and Behav. Sciences, Biophysics/Biomedical Physics, Communications Engineering, Networks, Biomedical Engineering