Edges of inter-layer synchronization in multilayer networks with time-switching links
arXiv:2107.11831 · doi:10.1063/5.0065310
Abstract
We investigate the transition to synchronization in a two-layer network with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the time-scale 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 units 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 to synchronization occurs abruptly as the number of inter-layer links increases. We interpret this phenomenon as the shrinking, and ultimately, the disappearance of the basin of attraction of a desynchronized network state.
arXiv comment7 pages, 7 figures
References in corpus (25)
- Synchronization in complex networks
- The structure and dynamics of multilayer networks
- Explosive Synchronization Transitions in Scale-free Networks
- Loss of coherence in dynamical networks: spatial chaos and chimera states
- When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
- Explosive synchronization in adaptive and multilayer networks
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Synchronization of two anharmonic nanomechanical oscillators
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Experimental evidence for phase synchronization transitions in human cardio-respiratory system
- Basin of Attraction Determines Hysteresis in Explosive Synchronization
- Delay controls chimera relay synchronization in multiplex networks
- Birth and stabilization of phase clusters by multiplexing of adaptive networks
- Time-delayed feedback control of coherence resonance chimeras
- Weak multiplexing in neural networks: Switching between chimera and solitary states
- Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
- Inter-layer adaptation induced explosive synchronization in multiplex networks
- Stochastic theory of synchronization transitions in extended systems
- First-order synchronization transition in a large population of strongly coupled relaxation oscillators
- Control of coherence resonance in multiplex neural networks
- Coherence resonance in neuronal populations: mean-field versus network model
- Solitary states in multiplex neural networks: onset and vulnerability
- Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks
- Complex transitions to synchronization in delay-coupled networks of logistic maps
- The Boundaries of Synchronization in Oscillators Networks