activity
19992018
most citedExact Results for the Kuramoto Model with a Bimodal Frequency Distribution

337 citations · 775 across the 10 of their papers we have counts for

collaborators

10 papers

cond-mat.dis-nn2018

Synchronization-Induced Spike Termination in Networks of Bistable Neurons

Muhammet Uzuntarla, Joaquin J. Torres, Ali Çalım +1

We observe and study a self-organized phenomenon whereby the activity in a network of spiking neurons spontaneously terminates. We consider different types of populations, consisti…

q-bio.NC2016★ 55 cited

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…

nlin.CD2011★ 44 cited

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…

q-bio.CB2010★ 141 cited

Ion Concentration Dynamics as a Mechanism for Neuronal Bursting

Ernest Barreto, John R. Cressman

We describe a simple conductance-based model neuron that includes intra- and extra-cellular ion concentration dynamics and show that this model exhibits periodic bursting. The burs…

nlin.PS2008★ 337 cited

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…

q-bio.NC2008

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…