Synchronization in networks with multiple interaction layers

@article{delGenio2016SynchronizationIN,
  title={Synchronization in networks with multiple interaction layers},
  author={Charo I. del Genio and Jes{\'u}s G{\'o}mez-Garde{\~n}es and Ivan Bonamassa and Stefano Boccaletti},
  journal={Science Advances},
  year={2016},
  volume={2}
}
When the coexistence of multiple types of interactions truly matters for the synchronization of interacting complex systems. The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multilayered structure of connections affects the synchronization properties of dynamical systems evolving on top of it is a highly relevant endeavor in mathematics and physics and has potential applications in several socially relevant… 
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101 Citations
Background Citations
14
Methods Citations
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Results Citations
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101 Citations

Mean-field nature of synchronization stability in networks with multiple interaction layers

A mean-field theory of synchronization for networks with multiple interaction layers is developed and it is shown that this applies to both homogeneous and heterogeneous layers, lowering computational complexity.

Mean-field nature of synchronization stability in networks with multiple interaction layers

A mean-field theory of synchronization for networks with multiple interaction layers is developed and it is shown that this applies to both homogeneous and heterogeneous layers, lowering computational complexity.

When multilayer links exchange their roles in synchronization.

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Stability of synchronization in simplicial complexes with multiple interaction layers.

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Dynamics of multilayer networks with amplification.

Using other systems with different topologies, an in-depth study on the case of a network of Rössler oscillators using a master stability function and order parameter leads to several phenomena such as complete synchronization, generalized, cluster, and phase synchronization with amplification.

Emergence of synchronization in multiplex networks of mobile Rössler oscillators.

This work concentrating on exploring the emergence of interlayer and intralayer synchronization states in a multiplex dynamical network comprising of layers having mobile nodes performing two-dimensional lattice random walk finds interesting results on interlayer synchronization for a continuous removal of the interlayer links as well as for progressively created static nodes.

The synchronized dynamics of time-varying networks

Stability of synchronization in simplicial complexes

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Inter-layer synchronization in non-identical multi-layer networks

By the use of multiplexed layers of electronic circuits, the inter-layer synchronization as a function of the removed links is studied, and a non-trivial relationship connecting the betweenness centrality of the missing links and the intra-layer coupling strength is identified.

Symmetry-Independent Stability Analysis of Synchronization Patterns

A generalization of the MSF formalism is established that can characterize the stability of any cluster synchronization pattern, even when the oscillators and/or their interactions are nonidentical, and leads to an algorithm that is error-tolerant and orders of magnitude faster than existing symmetry-based algorithms.
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