It has been found that a hub node is better able to amplify weak external signals than leaf nodes in star networks. But hub-enhanced amplification is only attained by a single hub node and is limited to weak coupling strength. We show here that random initial phases in external weak signals do not affect the hub-enhanced amplification at weak coupling strength. Instead, they can improve the responses of all the leaf nodes to external signals at large coupling strength, resulting in a double resonance-like signal amplification. We use a reduced model to analyze the influence of the star structure and random initial phases on the emergence of double resonance.

中文翻译：

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具有稳定信号的双稳态单元星网络中的双共振

已经发现，与星形网络中的叶节点相比，集线器节点能够更好地放大微弱的外部信号。但是集线器增强的放大只能通过单个集线器节点来实现，并且限于弱耦合强度。我们在这里表明，外部弱信号中的随机初始相位在弱耦合强度下不会影响集线器增强的放大。相反，它们可以在较大的耦合强度下改善所有叶节点对外部信号的响应，从而导致类似双共振的信号放大。我们使用简化模型分析恒星结构和随机初始相位对双共振现象的影响。