Vadivasova T E, Slepnev A V, Zakharova A
Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany.
Chaos. 2020 Sep;30(9):091101. doi: 10.1063/5.0023071.
We study the synchronization of spatio-temporal patterns in a two-layer network of coupled chaotic maps, where each layer is represented by a nonlocally coupled ring. In particular, we focus on noisy inter-layer communication that we call multiplexing noise. We show that noisy modulation of inter-layer coupling strength has a significant impact on the dynamics of the network and specifically on the degree of synchronization of spatio-temporal patterns of interacting layers initially (in the absence of interaction) exhibiting chimera states. Our goal is to develop control strategies based on multiplexing noise for both identical and non-identical layers. We find that for the appropriate choice of intensity and frequency characteristics of parametric noise, complete or partial synchronization of the layers can be observed. Interestingly, for achieving inter-layer synchronization through multiplexing noise, it is crucial to have colored noise with intermediate spectral width. In the limit of white noise, the synchronization is destroyed. These results are the first step toward understanding the role of noisy inter-layer communication for the dynamics of multilayer networks.
我们研究了耦合混沌映射双层网络中时空模式的同步，其中每一层由一个非局部耦合环表示。特别地，我们关注我们称为复用噪声的有噪声层间通信。我们表明，层间耦合强度的噪声调制对网络动态有显著影响，具体而言，对最初（在无相互作用时）呈现奇异态的相互作用层的时空模式同步程度有显著影响。我们的目标是为相同和不同层开发基于复用噪声的控制策略。我们发现，对于参数噪声强度和频率特性的适当选择，可以观察到层的完全或部分同步。有趣的是，为了通过复用噪声实现层间同步，拥有具有中间频谱宽度的有色噪声至关重要。在白噪声极限下，同步被破坏。这些结果是理解有噪声层间通信对多层网络动态作用的第一步。
