We explore numerically inter-layer synchronization of spatiotemporal patterns in a heterogeneous bilayer network of nonlocally coupled Rössler oscillators. Both layers exhibit phase chimera regimes with similar cluster structures, but there is a mean frequency mismatch between the layers. We show that an entrainment of the mean frequency in the interacting layers is observed already for sufficiently weak inter-layer coupling even when the frequency mismatch is large. At the same time, frequency synchronization does not mean structure synchronization. Our numerical study indicates that inter-layer synchronization takes place within noticeably shorter ranges of the frequency mismatch and the inter-layer coupling strength than the frequency synchronization regime. Besides, we show that the weakest chaotic behavior is observed when both frequency and structure synchronizations occur, while the most developed chaotic oscillations are typical when the spatiotemporal structures in the layers are desynchronized.

我们探索非本地耦合Rössler振荡器的异构双层网络中时空模式的数值层间同步。这两层都表现出具有相似簇结构的相位嵌合体状态，但是各层之间存在平均频率不匹配。我们表明，即使频率失配很大，对于足够弱的层间耦合，已经观察到相互作用层中平均频率的夹带。同时，频率同步并不意味着结构同步。我们的数值研究表明，与频率同步机制相比，层间同步发生在频率失配和层间耦合强度明显更短的范围内。除了，