Cenk Eser Muhittin, Medeiros Everton S, Riza Mustafa, Zakharova Anna
Department of Physics, Eastern Mediterranean University, 99628 Famagusta, North Cyprus, via Mersin 10, Turkey.
Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Chaos. 2021 Oct;31(10):103119. doi: 10.1063/5.0065310.
We investigate the transition to synchronization in a two-layer network of oscillators with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the timescale of topological changes. Initially, we observe a smooth transition to complete synchronization for the static inter-layer topology by increasing the number of inter-layer links. Next, for a dynamic topology with the existent inter-layer links randomly changing among identical oscillators in the layers, we observe a significant improvement in the system synchronizability; i.e., the layers synchronize with lower inter-layer connectivity. More interestingly, we find that, for a critical switching time, the transition from the network state of low inter-layer synchronization to high inter-layer synchronization occurs abruptly as the number of inter-layer links increases. We interpret this phenomenon as shrinking and ultimately the disappearance of the basin of attraction of a desynchronized network state.
我们研究了具有时间切换层间链路的两层振荡器网络中的同步转变。我们关注层间链路数量和拓扑变化时间尺度的作用。最初，通过增加层间链路数量，我们观察到对于静态层间拓扑，向完全同步的转变是平滑的。接下来，对于动态拓扑，即层间存在的链路在各层相同振荡器之间随机变化的情况，我们观察到系统同步能力有显著提高；也就是说，各层在较低的层间连接性下就能实现同步。更有趣的是，我们发现，对于一个临界切换时间，随着层间链路数量增加，从层间低同步网络状态到高同步网络状态的转变会突然发生。我们将这种现象解释为失步网络状态吸引域的收缩并最终消失。
