论文标题
高阶耦合多样性引起的共振
Resonance induced by higher-order coupling diversity
论文作者
论文摘要
高阶相互作用引起的集体振荡的研究指出了耦合模型中群体效应的必要性。到目前为止，相关的进展主要集中在非线性耦合模式上，并且不能直接扩展到线性耦合模式。在目前的工作中，我们介绍了相互作用组的动态行为的标准偏差，以补充扩散耦合中成对的高阶效应。通过这样做，高阶效应可以灵活地扩展到线性耦合系统。我们利用这种模型来包含异质高阶耦合的影响，包括促进和抑制效应，对两个常规模型的信号响应，全球耦合过度阻尼的双振荡器和可兴奋的Fitzhugh-Nagumo神经元的信号响应。特别是，我们在数值和分析上揭示了最佳信号响应可以通过两个系统的高阶耦合多样性获得最佳信号响应。这种共振信号响应分别源于分散和阳性成对耦合引起的分散和聚集之间的竞争。我们的结果有助于更好地理解线性耦合系统中的信号传播。
The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be straightforwardly extended to the linear ones. In present work, we introduce the standard deviation of dynamic behavior for the interacting group to complement the higher-order effect that beyond pairwise in diffusive coupling. By doing so, the higher-order effect can be flexibly extended to the linearly coupled system. We leverage this modelization to embrace the influence of heterogeneous higher-order coupling, including promoting and inhibiting effects, on the signal response for two conventional models, the globally coupled overdamped bistable oscillators and excitable FitzHugh-Nagumo neurons. Particularly, we numerically and analytically reveal that the optimal signal response can be obtained by an intermediate degree of higher-order coupling diversity for both systems. This resonant signal response stems from the competition between dispersion and aggregation induced by heterogeneous higher-order and positive pairwise couplings, respectively. Our results contribute to a better understanding of the signal propagation in linearly coupled systems.
