论文标题
对最小网络对拓扑变化和振荡器数量变化的敏感性的实验研究
Experimental investigation on the susceptibility of minimal networks to a change in topology and number of oscillators
论文作者
论文摘要
了解耦合振荡器网络的全球动力学行为一直是许多科学和工程领域的巨大研究的话题。各种因素决定了此类网络的产生动力行为,包括振荡器的数量及其耦合方案。尽管这些因素在大量人群中很少显着,但其中很小的变化会严重影响小人群的全球行为。在本文中,我们对这些因素对最小烛光振荡器网络的耦合行为的影响进行了实验研究。我们观察到,强烈耦合的振荡器表现出与振荡器的数量和拓扑相关的,表现出同期同步和振幅死亡的全球行为。但是,当它们弱耦合时,它们的全球行为表现出了及时的多个稳定状态的间歇性发生。除了聚类,嵌合体和弱嵌合体的状态外,我们还报告了烛光振荡器网络中部分振幅死亡的实验发现。我们还表明,与开环网络相比,闭环网络倾向于在更长的持续时间内保持全局同步。我们认为,我们的结果将在现实生活中找到应用,例如电网,神经元网络和癫痫发作动力学。
Understanding the global dynamical behaviour of a network of coupled oscillators has been a topic of immense research in many fields of science and engineering. Various factors govern the resulting dynamical behaviour of such networks, including the number of oscillators and their coupling schemes. Although these factors are seldom significant in large populations, a small change in them can drastically affect the global behaviour in small populations. In this paper, we perform an experimental investigation on the effect of these factors on the coupled behaviour of a minimal network of candle-flame oscillators. We observe that strongly coupled oscillators exhibit the global behaviour of in-phase synchrony and amplitude death, irrespective of the number and the topology of oscillators. However, when they are weakly coupled, their global behaviour exhibits the intermittent occurrence of multiple stable states in time. In addition to states of clustering, chimera, and weak chimera, we report the experimental discovery of partial amplitude death in a network of candle-flame oscillators. We also show that closed-loop networks tend to hold global synchronization for longer duration as compared to open-loop networks. We believe that our results would find application in real-life problems such as power grids, neuronal networks, and seizure dynamics.