Professor, Department of Physics and Astronomy
Dr. Barreto works at the convergence of physics, mathematics, and biology. Originally trained in nonlinear dynamics and chaos at the University of Maryland College Park, he later trained in experimental and theoretical neuroscience at the Marine Biological Laboratory in Woods Hole, MA. Research interests include the study of synchronization in populations of coupled oscillators, the individual and collective dynamics of neurons in the brain, and the fundamental dynamical mechanisms that underlie normal cognitive processing and pathological conditions such as epilepsy.
Muhammet Uzuntarla, Ernest Barreto, and Joaquin J. Torres. Inverse Stochastic Resonance in Networks of Spiking Neurons, PLoS Computational Biology 13(7): e1005646 (2017).
Tanushree B. Luke, Ernest Barreto, and Paul So. Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons, Neural Computation 25, 3207-3234 (2013).
Ernest Barreto and John R. Cressman. Ion Concentration Dynamics as a Mechanism for Neuronal Bursting, Journal of Biological Physics 37, 361-373 (2011).
John R. Cressman Jr., Ghanim Ullah, Jokubas Ziburkus, Steven J. Schiff, and Ernest Barreto. The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: I. Single Neuron Dynamics, Journal of Computational Neuroscience, Vol.26, 159-170 (2009).
Alexandre Wagemakers, Ernest Barreto, Miguel A.F. Sanjuan, and Paul So. Control of Collective Network Chaos, Chaos 24, 023127 (2014).
Erik A. Martens, Ernest Barreto, Steven H. Strogatz, Edward Ott, Paul So, and Thomas M. Antonsen. Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution, Physical Review E, Vol. 79, 026204 (2009).
Ernest Barreto, Brian Hunt, Edward Ott, and Paul So. Synchronization in Networks of Networks: The Onset of Coherent Collective Behavior in Interacting Populations of Heterogeneous Oscillators, Physical Review E, Vol. 77, 036107 (2008).
Jokubas Ziburkus, John R. Cressman, Ernest Barreto, and Steven J. Schiff. Interneuron and Pyramidal Cell Interplay During In Vitro Seizure-like Events, Journal of Neurophysiology, Vol. 95, pp. 3948-3954 (2006).
Ernest Barreto and Paul So. Mechanisms for the Development of Unstable Dimension Variability and the Breakdown of Shadowing in Coupled Chaotic Systems, Physical Review Letters 85 #12, pp. 2490-2493 (2000).
Ernest Barreto, Paul So, Bruce J. Gluckman, and Steven J. Schiff. From Generalized Synchrony to Topological Decoherence: Emergent Sets in Coupled Chaotic Systems, Physical Review Letters 84 #8, pp. 1689-1692 (2000).
Ernest Barreto, Brian R. Hunt, Celso Grebogi, and James A. Yorke. From High Dimensional Chaos to Stable Periodic Orbits: The Structure of Parameter Space, Physical Review Letters 78 #24, pp. 4561-4564 (1997).
Ernest Barreto and Celso Grebogi. Multiparameter Control of Chaos, Physical Review E 52 #4, pp. 3553-3557 (1995).
Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, and James A. Yorke. Efficient Switching Between Controlled Unstable Periodic Orbits in Higher Dimensional Chaotic Systems, Physical Review E 51 #5, pp. 4169-4172 (1995).
BA 1990, University of Chicago
MS 1995, University of Maryland, College Park
Ph.D. 1996, University of Maryland, College Park
Neurobiology (2000) and Methods in Computational Neuroscience (2001), Marine Biological Laboratory, Woods Hole, MA