Manoj Krishna, Pawar Samadhan A, Sujith R I
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600036, India.
Phys Rev E. 2021 Feb;103(2-1):022207. doi: 10.1103/PhysRevE.103.022207.
Understanding the global dynamical behavior 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 behavior 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 behavior in small populations. In this paper, we perform an experimental investigation on the effect of these factors on the coupled behavior of a minimal network of candle-flame oscillators. We observe that strongly coupled oscillators exhibit the global behavior of in-phase synchrony and amplitude death, irrespective of the number and the topology of oscillators. However, when they are weakly coupled, their global behavior exhibits the intermittent occurrence of multiple stable states in time. We report the experimental discovery of partial amplitude death in a network of candle-flame oscillators, in addition to the observation of other dynamical states including clustering, chimera, and weak chimera. We also show that closed-loop networks tend to hold global synchronization for longer duration as compared to open-loop networks.
理解耦合振子网络的全局动力学行为一直是许多科学和工程领域大量研究的主题。各种因素决定了此类网络产生的动力学行为，包括振子的数量及其耦合方案。尽管这些因素在大量振子中很少具有显著影响，但它们的微小变化可能会极大地影响小数量振子群体的全局行为。在本文中，我们对这些因素对最小规模蜡烛火焰振子网络耦合行为的影响进行了实验研究。我们观察到，强耦合振子呈现出同相同步和振幅死亡的全局行为，而与振子的数量和拓扑结构无关。然而，当它们弱耦合时，其全局行为在时间上呈现出多个稳定状态的间歇性出现。我们报告了在蜡烛火焰振子网络中部分振幅死亡的实验发现，此外还观察到了包括聚类、奇异态和弱奇异态在内的其他动力学状态。我们还表明，与开环网络相比，闭环网络倾向于在更长时间内保持全局同步。
