振荡网络中涨落诱导的分布共振
Fluctuation-induced Distributed Resonances in Oscillatory Networks
摘要：
自组织网络动力学在物理学、生物学和工程学的系统中普遍存在。外部信号如何在网络系统中产生分布式响应是其功能的根本基础，但还远未完全理解。在这里，我们分析的动态响应模式的振荡网络的波动输入信号。我们理清了信号在整个网络中的分布、信号的频率内容和网络拓扑结构的影响。我们分析得出定性不同的动态响应模式，并找到三个频率制度：在低频均匀的响应，拓扑相关的共振在中频，和本地化的响应在高频。该理论忠实地预测了整个网络对规则和不规则、局部和分布式模拟信号的集体响应，以及对从可再生能源供应记录的电网真实输入信号的集体响应。这些结果不仅提供了一般的见解，形成动态响应模式的网络系统，但也建议政权和拓扑结构的具体设计原则的网络功能。
英文摘要：
Self-organized network dynamics prevails for systems across physics, biology and engineering. How external signals generate distributed responses in networked systems fundamentally underlies their function, yet is far from fully understood. Here we analyze the dynamic response patterns of oscillatory networks to fluctuating input signals. We disentangle the impact of the signal distribution across the network, the signals' frequency contents and the network topology. We analytically derive qualitatively different dynamic response patterns and find three frequency regimes: homogeneous responses at low frequencies, topology-dependent resonances at intermediate frequencies, and localized responses at high frequencies. The theory faithfully predicts the network-wide collective responses to regular and irregular, localized and distributed simulated signals, as well as to real input signals to power grids recorded from renewable-energy supplies. These results not only provide general insights into the formation of dynamic response patterns in networked systems but also suggest regime- and topology-specific design principles underlying network function.
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