受迫复杂网络的共振响应：拓扑无序的作用
Resonant response of forced complex networks: the role of topological disorder
摘要：
我们研究了拓扑无序对强制阈值元素系统的影响，其中每个元素都被安排在复杂的异质网络之上。数值结果表明，在拓扑无序的中间水平，系统对弱信号的响应被放大，从而表明拓扑无序诱导共振的发生.利用平均场方法，我们通过导出系统的有效势，得到了对共振现象的解析理解。我们的研究结果可能会提供进一步的洞察网络拓扑结构在生物网络中的信号放大的作用。
英文摘要：
We investigate the effect of topological disorder on a system of forced threshold elements, where each element is arranged on top of complex heterogeneous networks. Numerical results indicate that the response of the system to a weak signal can be amplified at an intermediate level of topological disorder, thus indicating the occurrence of topological-disorder-induced resonance. Using mean field method, we obtain an analytical understanding of the resonant phenomenon by deriving the effective potential of the system. Our findings might provide further insight into the role of network topology in signal amplification in biological networks.
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