Synchronization in duplex networks of coupled Rössler oscillators with different inner-coupling matrices

Autor: Chengwang Xie, Quansheng Li, Congying Liu, Xiaoqun Wu, Jie Liu
Rok vydání: 2020
Předmět:
Zdroj: Neurocomputing. 408:31-41
ISSN: 0925-2312
Popis: The traditional and extended master stability framework cannot work for multiplex networks with different inner-coupling functions on different layers. In this paper, we thoroughly investigate the influence of inner-coupling functions on the synchronized regions with respect to intra- and inter-layer coupling strength in two-layer multiplex networks composed of linearly coupled Rossler oscillators with identical or nonidentical intra-layer topological structures. We focus on three typical inner-coupling matrices, representing the classical bounded, unbounded and empty synchronized regions. We numerically investigate intra-layer synchronization (synchronization of nodes within each layer), inter-layer synchronization (synchronization of node pairs across layers) and global synchronization (synchronization of all nodes) in duplex networks with identical or nonidentical intra-layer structures, for all the combinations of the three typical inner-coupling matrices. Interestingly, we find that whatever the inner-coupling matrices are, the intra-layer synchronized regions of the two layers will become the same type in most cases, which should be due to the interaction between layers. Particularly, the inner-coupling matrix that leads to an empty synchronized region in an isolated network does not necessarily result in empty synchronized regions within or across layers, though it will lead to empty global synchronized regions while working as the inter-layer inner-coupling function. Numerical results also imply that structural difference of the two intra-layer networks will weaken inter-layer as well as intra-layer synchronizability.
Databáze: OpenAIRE
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