337 citations · 632 across the 7 of their papers we have counts for
7 papers
Double Inverse Stochastic Resonance with Dynamic Synapses
M. Uzuntarla, J. J. Torres, P. So +2
We investigate the behavior of a model neuron that receives a biophysically-realistic noisy post-synaptic current based on uncorrelated spiking activity from a large number of affe…
Generating macroscopic chaos in a network of globally coupled phase oscillators
Paul So, Ernest Barreto
We consider an infinite network of globally-coupled phase oscillators in which the natural frequencies of the oscillators are drawn from a symmetric bimodal distribution. We demons…
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…
The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators
Edward Ott, Paul So, Ernest Barreto +1
A general stability analysis is presented for the determination of the transition from incoherent to coherent behavior in an ensemble of globally coupled, heterogeneous, continuous…
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…