Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-06-17
Nonlinear Sciences
Chaotic Dynamics
10 pages, 13 figures
Scientific paper
10.1063/1.3087531
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.
Gong Xiaofeng
Guan Shuguang
Lai Chih-Huang
Li Kun
Wang Xingang
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