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In this Letter, self-organization of directed networks is surveyed. Inspired from the results in neural networks research, we propose an asymmetric coupling scheme with simple edge deleting rules. Results show that all-to-all networks can be organized into scale-free networks with feed-forward structures. Corresponding analysis is also given.
The synchronization process of coupled phase oscillators is further investigated in this Letter. Coupled with a new adaptive scheme, the network can be stable in a middle state which oscillates between the synchronization state and the asynchronous state, namely there exists a third steady state. We call this novel phenomenon ‘order-oscillation’. Related results and detailed analysis are given at...
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