337 citations · 481 across the 2 of their papers we have counts for
3 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…
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…
Differentiability Implies Continuity in Neuronal Dynamics
Joseph T. Francis, Paul So, Bruce J. Gluckman +1
Recent work has identified nonlinear deterministic structure in neuronal dynamics using periodic orbit theory. Troublesome in this work were the significant periods of time where n…