Dudkowski Dawid, Wojewoda Jerzy, Czołczyński Krzysztof, Kapitaniak Tomasz
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Chaos. 2020 Jan;30(1):011102. doi: 10.1063/1.5141929.
Chimera states occur widely in networks of identical oscillators as has been shown in the recent extensive theoretical and experimental research. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Here, we consider a star network, in which N identical peripheral end nodes are connected to the central hub node. We find that if a single node exhibits transient chaotic behavior in the whole network, the pattern of transient chimeralike state, which persists for a significant amount of time, is created. As a proof of the concept, we examine the system of N double pendula (peripheral end nodes) located on the periodically oscillating platform (central hub). We show that such transient chimeralike states can be observed in simple experiments with mechanical oscillators, which are controlled by elementary dynamical equations. Our finding suggests that transient chimeralike states are observable in networks relevant to various real-world systems.
正如最近广泛的理论和实验研究所表明的那样，嵌合态在相同振子的网络中广泛存在。在这种状态下，尽管耦合均匀，但不同组的振子可以表现出共存的同步和非相干行为。在这里，我们考虑一个星型网络，其中N个相同的外围端节点连接到中央枢纽节点。我们发现，如果单个节点在整个网络中表现出瞬态混沌行为，就会产生持续相当长时间的瞬态类嵌合态模式。作为概念验证，我们研究了位于周期性振荡平台（中央枢纽）上的N个双摆（外围端节点）系统。我们表明，在由基本动力学方程控制的机械振子的简单实验中可以观察到这种瞬态类嵌合态。我们的发现表明，瞬态类嵌合态在与各种现实世界系统相关的网络中是可观察到的。
