337 citations · 483 across the 4 of their papers we have counts for
4 papers
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
E. A. Martens, E. Barreto, S. H. Strogatz +3
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standi…
The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: II. Network and Glial Dynamics
Ghanim Ullah, John R. Cressman, Ernest Barreto +1
In these companion papers, we study how the interrelated dynamics of sodium and potassium affect the excitability of neurons, the occurrence of seizures, and the stability of persi…
The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: I. Single Neuron Dynamics
John R. Cressman, Ghanim Ullah, Jokubas Ziburkus +2
In these companion papers, we study how the interrelated dynamics of sodium and potassium affect the excitability of neurons, the occurrence of seizures, and the stability of persi…
Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
Ernest Barreto, Brian Hunt, Edward Ott +1
The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is compose…