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Explosive Synchronization Transitions in Scale-free Networks
Jesus Gomez-Gardenes, Sergio Gomez, Alex Arenas +1
The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Lette…
Entropy Rate of Diffusion Processes on Complex Networks
Jesus Gomez-Gardenes, Vito Latora
The concept of entropy rate for a dynamical process on a graph is introduced. We study diffusion processes where the node degrees are used as a local information by the random walk…
Synchronizability determined by coupling strengths and topology on Complex Networks
Jesus Gomez-Gardenes, Yamir Moreno, Alex Arenas
We investigate in depth the synchronization of coupled oscillators on top of complex networks with different degrees of heterogeneity within the context of the Kuramoto model. In a…
Paths to Synchronization on Complex Networks
Jesus Gomez-Gardenes, Yamir Moreno, Alex Arenas
The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenom…
From Scale-free to Erdos-Renyi Networks
Jesus Gomez-Gardenes, Yamir Moreno
We analyze a model that interpolates between scale-free and Erdos-Renyi networks. The model introduced generates a one-parameter family of networks and allows to analyze the role o…
Dynamics of jamming transitions in complex networks
Pablo Echenique, Jesus Gomez-Gardenes, Yamir Moreno
We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic i…