318 citations · 2.8k across the 60 of their papers we have counts for
4 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…
The Hamiltonian Mean Field model: effect of network structure on synchronization dynamics
Yogesh S. Virkar, Juan G. Restrepo, James D. Meiss
The Hamiltonian Mean Field (HMF) model of coupled inertial, Hamiltonian rotors is a prototype for conservative dynamics in systems with long-range interactions. We consider the cas…
Spontaneous synchronization of coupled oscillator systems with frequency adaptation
Dane Taylor, Edward Ott, Juan G. Restrepo
We study the synchronization of Kuramoto oscillators with all-to-all coupling in the presence of slow, noisy frequency adaptation. In this paper we develop a new model for oscillat…
Synchronization in large directed networks of coupled phase oscillators
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks.…