交互阶控制延迟多路神经网络中的随机共振增强与重新分布
Interaction order controls stochastic-resonance enhancement and redistribution in delayed multiplex neural networks
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中文总结 AI 辅助
该研究以延迟多路神经网络为对象，探究交互阶数、共振失配等参数对随机共振的控制作用，揭示了不同耦合方式的共振特性及层间耦合的响应均衡效应。
中文摘要 AI 辅助
我们研究了延迟可激发系统层级中的随机共振，从单个FitzHugh–Nagumo神经元到具有自突触、成对、三元高阶及层间交互的单层和双层网络。对弱周期驱动的响应由驱动频率处的谱振幅表征，将随机共振分析限定于确定性亚阈值 regime。我们表明，交互的阶数和组织产生不同的共振 regime。在无自突触的单层架构中，成对耦合产生最大可及响应，而弱三元耦合最小化共振所需的噪声振幅。延迟自突触反馈主要改变最优噪声水平，在所研究的配置中，仅当成对与三元交互共存时才产生真正增强，揭示了非加性耦合效应。在双层网络中，层间耦合主要起响应均衡机制作用：它增强较弱层，通常以牺牲较强层为代价，重新分布主要由未耦合的共振容量差控制。增加层间延迟通常抑制这种集体响应。这些结果确定交互阶数、共振失配和延迟是多层可激发系统中噪声辅助信号处理的关键控制参数。
英文摘要
We investigate stochastic resonance in a hierarchy of delayed excitable systems, from a single FitzHugh--Nagumo neuron to single-layer and duplex networks with autaptic, pairwise, triadic higher-order, and interlayer interactions. The response to weak periodic forcing is characterized by the spectral amplitude at the driving frequency, restricting the stochastic-resonance analysis to deterministically subthreshold regimes. We show that the order and organization of interactions generate distinct resonance regimes. Among the autapse-free single-layer architectures, pairwise coupling produces the largest attainable response, whereas weak triadic coupling minimizes the noise amplitude required for resonance. Delayed autaptic feedback primarily shifts the optimal noise level and, within the configurations investigated, yields a genuine enhancement only when pairwise and triadic interactions coexist, revealing a non-additive coupling effect. In duplex networks, interlayer coupling acts predominantly as a response-equalization mechanism: it enhances the weaker layer, generally at the expense of the stronger one, with the redistribution controlled mainly by the uncoupled resonance-capacity gap. Increasing the interlayer delay generally suppresses this collective response. These results identify interaction order, resonance mismatch, and delay as key control parameters for noise-assisted signal processing in multilayer excitable systems.
