Edges of inter-layer synchronization in multilayer networks with time-switching links
Abstract
We investigate the transition to synchronization in a two-layer network of oscillators with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the timescale of topological changes. Initially, we observe a smooth transition to complete synchronization for the static inter-layer topology by increasing the number of inter-layer links. Next, for a dynamic topology with the existent inter-layer links randomly changing among identical oscillators in the layers, we observe a significant improvement in the system synchronizability; i.e., the layers synchronize with lower inter-layer connectivity. More interestingly, we find that, for a critical switching time, the transition from the network state of low inter-layer synchronization to high inter-layer synchronization occurs abruptly as the number of inter-layer links increases. We interpret this phenomenon as shrinking and ultimately the disappearance of the basin of attraction of a desynchronized network state.
- Publication:
-
Chaos
- Pub Date:
- October 2021
- DOI:
- 10.1063/5.0065310
- arXiv:
- arXiv:2107.11831
- Bibcode:
- 2021Chaos..31j3119C
- Keywords:
-
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- E-Print:
- 7 pages, 7 figures