The development of generalized synchronization on complex networks
arXiv:0806.2689 · doi:10.1063/1.3087531
Abstract
In this paper, we investigate the development of generalized synchronization (GS) on typical complex networks, such as scale-free networks, small-world networks, random networks and modular networks. By adopting the auxiliary-system approach to networks, we show that GS can take place in oscillator networks with both heterogeneous and homogeneous degree distribution, regardless of whether the coupled chaotic oscillators are identical or nonidentical. For coupled identical oscillators on networks, we find that there exists a general bifurcation path from initial non-synchronization to final global complete synchronization (CS) via GS as the coupling strength is increased. For coupled nonidentical oscillators on networks, we further reveal how network topology competes with the local dynamics to dominate the development of GS on networks. Especially, we analyze how different coupling strategies affect the development of GS on complex networks. Our findings provide a further understanding for the occurrence and development of collective behavior in complex networks.
10 pages, 13 figures
References in corpus (14)
- Emergence of scaling in random networks
- Synchronization in small-world systems
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Fast Response and Temporal Coding on Coherent Oscillations in Small-World Networks
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Synchronization on small-world networks
- Paths to Synchronization on Complex Networks
- Universality in the synchronization of weighted random networks
- The onset of synchronization in large networks of coupled oscillators
- Enhancing complex-network synchronization
- Modular synchronization in complex networks
- Clustering and Synchronization of Oscillator Networks
- Synchronization on community networks
- Periodic Phase Synchronization in coupled chaotic oscillators