318 citations · 2.8k across the 60 of their papers we have counts for
5 papers · 1 filter
Stochastic and deterministic dynamics in networks with excitable nodes
Milad Rahimi-Majd, Juan G. Restrepo, Morteza Nattagh-Najafi
The analysis of the dynamics of a large class of excitable systems on locally tree-like networks leads to the conclusion that at a continuous phase transition takes place, wh…
Greedy optimization for growing spatially embedded oscillatory networks
Damien Beecroft, Juan G. Restrepo, David Angulo-Garcia
The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchroniz…
Hypergraph assortativity: a dynamical systems perspective
Nicholas W. Landry, Juan G. Restrepo
The largest eigenvalue of the matrix describing a network's contact structure is often important in predicting the behavior of dynamical processes. We extend this notion to hypergr…
Dirac synchronization is rhythmic and explosive
Lucille Calmon, Juan G. Restrepo, Joaquín J. Torres +1
Topological signals defined on nodes, links and higher dimensional simplices define the dynamical state of a network or of a simplicial complex. As such, topological signals are at…
Geometry, Topology and Simplicial Synchronization
Ana Paula Millán, Juan G. Restrepo, Joaquín J. Torres +1
Simplicial synchronization reveals the role that topology and geometry have in determining the dynamical properties of simplicial complexes. Simplicial network geometry and topolog…