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20062025
most citedExplosive transitions in complex networks' structure and dynamics: percolation and synchronization

369 citations · 1.1k across the 16 of their papers we have counts for

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7 papers · 1 filter

nlin.AO2022★ 8 cited

Deterministic and stochastic cooperation transitions in evolutionary games on networks

Nagi Khalil, I. Leyva, J. A. Almendral +1

Although the cooperative dynamics emerging from a network of interacting players has been exhaustively investigated, it is not yet fully understood when and how network reciprocity…

nlin.AO2016★ 369 cited

Explosive transitions in complex networks' structure and dynamics: percolation and synchronization

S. Boccaletti, J. A. Almendral, S. Guan +5

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, these…

nlin.AO2015★ 23 cited

Synchronization centrality and explosive synchronization in complex networks

A. Navas, J. A. Villacorta-Atienza, I. Leyva +3

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network'…

nlin.AO2014★ 40 cited

Assortative mixing enhances the irreversible nature of explosive synchronization in growing scale-free networks

I. Sendiña-Nadal, I. Leyva, A. Navas +4

We discuss the behavior of large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators' natural freq…

nlin.AO2013★ 61 cited

Emergence of small-world anatomical networks in self-organizing clustered neuronal cultures

Daniel de Santos-Sierra, Irene Sendiña-Nadal, Inmaculada Leyva +5

In vitro primary cultures of dissociated invertebrate neurons from locust ganglia are used to experimentally investigate the morphological evolution of assemblies of living neurons…

nlin.AO2013★ 120 cited

Explosive synchronization in weighted complex networks

I. Leyva, I. Sendiña-Nadal, J. A. Almendral +3

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…