Intra-layer synchronization in duplex networks

• 来源期刊: 中国物理B（英文版）
• 关键词: multi-layer network intra-layer synchronization Lyapunov stability method
• 年，卷（期）: 2018,（10）
• 页码范围: 147-154
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/100503

摘要

This paper explores the intra-layer synchronization in duplex networks with different topologies within layers and different inner coupling patterns between, within, and across layers. Based on the Lyapunov stability method, we prove theoretically that the duplex network can achieve intra-layer synchronization under some appropriate conditions, and give the thresholds of coupling strength within layers for different types of inner coupling matrices across layers. Interestingly, for a certain class of coupling matrices across layers, it needs larger coupling strength within layers to ensure the intra-layer synchronization when the coupling strength across layers become larger, intuitively opposing the fact that the intra-layer synchronization is seemly independent of the coupling strength across layers. Finally, numerical simulations further verify the theoretical results.