1.5k citations · 2.3k across the 12 of their papers we have counts for
12 papers
Emergent Self-Attention from Astrocyte-Gated Associative Memory Dynamics
Arnau Vivet, Alex Arenas
We introduce a Hopfield-type associative memory in which effective connectivity is multiplicatively modulated by astrocytic gains evolving under an entropy-regularized replicator e…
Cycle holonomy captures higher-order compatibility constraints in remote synchronization
Lluís Torres-Hugas, Jordi Duch, Sergio Gómez +1
Higher-order interactions have typically been modeled using hypergraphs or simplicial complexes, where interactions explicitly involve more than two nodes. Here we demonstrate that…
A convex-geometric framework for fully phase-locked states in the finite Kuramoto model
Antonio Garijo, Sergio Gómez, Alex Arenas
We study the finite-size Kuramoto model of all-to-all coupled phase oscillators with heterogeneous natural frequencies and characterize the minimal coupling strength required for t…
Modeling self-sustained activity cascades in socio-technical networks
Pablo Piedrahíta, Javier Borge-Holthoefer, Yamir Moreno +1
The ability to understand and eventually predict the emergence of information and activation cascades in social networks is core to complex socio-technical systems research. Howeve…
Self-similar community structure in organisations
R. Guimera, L. Danon, A. Diaz-Guilera +2
The formal chart of an organisation is designed to handle routine and easily anticipated problems, but unexpected situations arise which require the formation of new ties so that t…
Modelling diffusion of innovations in a social network
X. Guardiola, A. Diaz-Guilera, C. J. Perez +2
A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level…
Communication and optimal hierarchical networks
R. Guimera, A. Arenas, A. Diaz-Guilera
We study a general and simple model for communication processes. In the model, agents in a network (in particular, an organization) interchange information packets following simple…
Communication in networks with hierarchical branching
A. Arenas, A. Diaz-Guilera, R. Guimera
We present a simple model of communication in networks with hierarchical branching. We analyze the behavior of the model from the viewpoint of critical systems under different situ…
Self-organized evolution in socio-economic environments
A. Arenas, A. Diaz-Guilera, C. J. Perez +1
We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enoug…
Synchronization in a ring of pulsating oscillators with bidirectional couplings
A. Diaz-Guilera, C. J. Perez-Vicente, A. Arenas
We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our intere…
On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems
C. J. Pérez, A. Corral, A. Díaz-Guilera +2
Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a p…
On Synchronization in a Lattice Model of Pulse-Coupled Oscillators
Alvaro Corral, Conrad J. Perez, Albert Diaz-Guilera +1
We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each mem…