We study numerically the spatio-temporal behavior of a two-layer multiplex network of bistable cubic maps when the interlayer coupling is modulated by noise. We refer to this interlayer coupling noise as a multiplexing noise. Various spatio-temporal structures can be established in the uncoupled layers depending on initial conditions. They may represent chimeras of different forms, spatially irregular patterns or spatially homogeneous states. The interlayer coupling strength between the mirror nodes of the layers is given by independent sources of Gaussian colored noise with identical characteristics. We explore the evolution of the spatio-temporal dynamics of the interacting layers when the multiplexing noise parameters are varied. The network dynamics is considered in the case of identical and nonidentical layers which differ in the intralayer coupling strength. It is shown that the low-frequency multiplexing noise produces the solitary states in the networks. The nodes which are in these solitary states have a special temporal dynamics which is revealed for the first time. It is demonstrated that complete and close to complete synchronization of the layers can be achieved at certain characteristics of the noise sources. We analyze how synchronization depends on the initial regimes of two layers. Diagrams are constructed that reflect the degree of layer synchronization in the plane of parameters that control the spectrum and intensity of noise sources.

当层间耦合被噪声调制时，我​​们在数值上研究了双稳态立方映射的两层多路网络的时空行为。我们将这种层间耦合噪声称为多路复用噪声。根据初始条件，可以在非耦合层中建立各种时空结构。它们可能代表不同形式的嵌合体、空间不规则图案或空间同质状态。层的镜像节点之间的层间耦合强度由具有相同特性的独立高斯彩色噪声源给出。我们探索了当多路复用噪声参数变化时相互作用层的时空动态的演变。在层内耦合强度不同的相同和不同层的情况下考虑网络动态。结果表明，低频复用噪声在网络中产生孤立状态。处于这些孤立状态的节点具有首次揭示的特殊时间动态。证明了在噪声源的某些特性下可以实现层的完全和接近完全的同步。我们分析同步如何依赖于两层的初始状态。构建的图表反映了控制噪声源的频谱和强度的参数平面中的层同步程度。处于这些孤立状态的节点具有首次揭示的特殊时间动态。证明了在噪声源的某些特性下可以实现层的完全和接近完全的同步。我们分析同步如何依赖于两层的初始状态。构建的图表反映了控制噪声源的频谱和强度的参数平面中的层同步程度。处于这些孤立状态的节点具有首次揭示的特殊时间动态。证明了在噪声源的某些特性下可以实现层的完全和接近完全的同步。我们分析同步如何依赖于两层的初始状态。构建的图表反映了控制噪声源的频谱和强度的参数平面中的层同步程度。