Edges of inter-layer synchronization in multilayer networks with time-switching links

@article{CenkEser2021EdgesOI,
  title={Edges of inter-layer synchronization in multilayer networks with time-switching links},
  author={Muhittin Cenk Eser and Everton S Medeiros and Mustafa Riza and A. S. Zakharova},
  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},
  year={2021}
}
  • Muhittin Cenk Eser, E. Medeiros, +1 author A. Zakharova
  • Published 2021
  • Physics
  • Chaos: An Interdisciplinary Journal of Nonlinear Science
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… Expand

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References

SHOWING 1-10 OF 48 REFERENCES
Delay controls chimera relay synchronization in multiplex networks
TLDR
It is demonstrated that the three-layer structure of the network allows for synchronization of the coherent domains of chimera states in the first layer with their counterparts in the third layer, whereas the incoherent domains either remain desynchronized or synchronized. Expand
Control of inter-layer synchronization by multiplexing noise.
TLDR
It is found that for the appropriate choice of intensity and frequency characteristics of parametric noise, complete or partial synchronization of the layers can be observed and for achieving inter-layer synchronization through multiplexing noise, it is crucial to have colored noise with intermediate spectral width. Expand
Synchronization with on-off coupling: Role of time scales in network dynamics.
  • L. Chen, C. Qiu, H. B. Huang
  • Computer Science, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
TLDR
This study indicates that the time scale for network variation is of crucial importance for network dynamics and synchronization under the comparable time scale which is much more advantageous over other time scales. Expand
Emergence of synchronization and regularity in firing patterns in time-varying neural hypernetworks.
TLDR
The resilience of the synchronous states with respect to increasing network size is investigated, and it is found that synchrony can be maintained up to larger network sizes by increasing either synaptic strength or rewiring frequency. Expand
Explosive synchronization in adaptive and multilayer networks.
TLDR
This work shows that explosive synchronization of networked oscillators is far more general and can occur in adaptive and multilayer networks in the absence of such correlation properties, and provides a rigorous, analytical treatment to properly ground all of the observed scenarios. Expand
Synchronization in time-varying networks.
TLDR
It is found that the time taken to reach synchronization is lowered and the stability range of the synchronized state increases considerably in dynamic networks, and so the linear stability analysis and the basin stability criterion provide complementary indicators of stability. Expand
Enhancing synchrony in multiplex network due to rewiring frequency
TLDR
This paper analytically derive local stability conditions for intralayer synchrony based on the master stability function approach and illustrated by numerical simulations on up to five-layers multiplex networks with the paradigmatic Lorenz system as the node dynamics in each individual layer. Expand
Complex transitions to synchronization in delay-coupled networks of logistic maps
Abstract. A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneousExpand
Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks.
TLDR
It is shown by theoretical analysis and computer simulations that multiplexing in a multilayer network with symmetry can induce various stable phase cluster states in a situation where they are not stable or do not even exist in the single layer. Expand
Dynamical weights and enhanced synchronization in adaptive complex networks.
TLDR
It is found that when complete synchronization is achieved, the coupling strength becomes weighted and correlated with the topology due to a hierarchical transition to synchronization in heterogeneous networks. Expand
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