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The structure and dynamics of multilayer networks
TLDR
We offer here a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues. Expand
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Reorganization of Functional Networks in Mild Cognitive Impairment
Whether the balance between integration and segregation of information in the brain is damaged in Mild Cognitive Impairment (MCI) subjects is still a matter of debate. Here we characterize theExpand
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Explosive transitions to synchronization in networks of phase oscillators
TLDR
The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Expand
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Explosive synchronization in weighted complex networks.
The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring ofExpand
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Emergence of Small-World Anatomical Networks in Self-Organizing Clustered Neuronal Cultures
In vitro primary cultures of dissociated invertebrate neurons from locust ganglia are used to experimentally investigate the morphological evolution of assemblies of living neurons, as theyExpand
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Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Abstract Percolation and synchronization are two phase transitions that have been extensively studied since already long ago. A classic result is that, in the vast majority of cases, theseExpand
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Explosive first-order transition to synchrony in networked chaotic oscillators.
TLDR
We report evidence of an explosive phase synchronization in networks made up of chaotic units. Expand
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Inter-layer synchronization in non-identical multi-layer networks
TLDR
We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra inertial term accounting for structural differences. Expand
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Synchronization interfaces and overlapping communities in complex networks.
TLDR
We show that a complex network of phase oscillators may display interfaces between domains (clusters) of synchronized oscillations. Expand
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