Biophysical Modulation and Robustness of Itinerant Complexity in Neuronal Networks,Siva Venkadesh, Asmir Shaikh, Heman Shakeri, Ernest Barreto, and John Van Horn,
Frontiers in Network Physiology 4:1302499 (2024). Journal link.
—This article is included in the Frontiers Research Topic Synchronization and Multistability in Neural Networks.
Itinerant Complexity in Networks of Intrinsically Bursting Neurons,Siva Venkadesh, Ernest Barreto, and Giorgio Ascoli,
Chaos 30, 061106 (2020). Journal link.
Synaptic Diversity Suppresses Complex Collective Behavior in Networks of Theta Neurons,Lucas Lin, Ernest Barreto, and Paul So,
Frontiers in Computational Neuroscience 14:44 (2020). Journal link (open access).
—This article is included in the Frontiers Research Topic Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience.
Synchronization-Induced Spike Termination in Networks of Bistable Neurons,Muhammet Uzuntarla, Joaquin J. Torres, Ali Çalım, and Ernest Barreto,
Neural Networks 110, 131-140 (2019). Journal link.
Inverse Stochastic Resonance in Networks of Spiking
Neurons,Muhammet Uzuntarla, Ernest Barreto, and Joaquin J. Torres,
PLoS Computational Biology 13(7): e1005646 (2017). Journal link (open access).
—This article was among the top 10% most cited PLOS Computational Biology papers published in 2017.
Double Inverse Stochastic Resonance with Dynamic Synapses,Muhammet Uzuntarla, Joaquin J. Torres, Paul So, Mahmut Ozer, and Ernest Barreto,
Physical Review E 95, 012404 (2017). Journal link.
Effects of Polarization Induced by Non-Weak Electric Fields
on the Excitability of Elongated Neurons With Active
Dendrites,Robert I. Reznik, Ernest Barreto, Evelyn Sander, and Paul So
Journal of Computational Neuroscience 40, 27-50 (2016). Journal link.
Macroscopic Complexity from an Autonomous Network of Networks of Theta Neurons ,Tanushree B Luke, Ernest Barreto, and Paul So
Frontiers in Computational Neuroscience 8, 145 (2014). Journal link (open access)
—This paper was included in Mattei, T. A., ed. (2016). Nonlinear Analysis in Neuroscience and Behavioral Research. Lausanne: Frontiers Media. doi: 10.3389/978-2-88919-996-9
Control of Collective Network Chaos,Alexandre Wagemakers, Ernest Barreto, Miguel A.F. Sanjuan, and Paul So
Chaos 24, 023127 (2014). Journal link PDF.
Networks of Theta Neurons with Time-Varying Excitability: Macroscopic Chaos, Multistability, and
Final-State Uncertainty,Paul So, Tanushree B. Luke, and Ernest Barreto
Physica D 267, 16-26 (2014). Journal link.
Dynamical Structure Underlying Inverse Stochastic Resonance
and its Implications,Muhammet Uzuntarla, John R. Cressman, Mahmut Ozer, and Ernest Barreto
Physical Review E 88, 042712 (2013). Journal link (open access) PDF
Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons,Tanushree B. Luke, Ernest Barreto, and Paul So
Neural Computation 25, 3207-3234 (2013). Journal link Author-generated PDF Animations
Controlling Seizure-Like Events by Perturbing Ion Concentration Dynamics with Periodic Stimulation,Jeremy A. Owen, Ernest Barreto, and John R. Cressman
PLoS ONE 8(9): e73820 (2013). Journal link (open access).
The Role of Inhibition in Oscillatory Wave Dynamics in Cortex,Ying Xiao, Xiao-ying Huang, Stephen Van Wert, Ernest Barreto, Jian-young Wu, Bruce J. Gluckman, and Steven J. Schiff
European Journal of Neuroscience 36, 2201-2212 (2012). Journal link PDF
Generating Macroscopic Chaos in a Network of Globally Coupled Phase Oscillators,Paul So and Ernest Barreto
Chaos 21, 033127 (2011). PDF Journal link
Ion Concentration Dynamics as a Mechanism for Neuronal Bursting,Ernest Barreto and John R. Cressman
Journal of Biological Physics 37, 361-373 (2011). Author-generated PDF Journal link
Synchronized Changes to
Relative
Neuron Populations in Postnatal Human Neocortical Development,David L. Cooper, James E. Gentle, Ernest Barreto, and James L. Olds
Cognitive Neurodynamics 4, 151-163 (2010). Journal link
Exact
Results for the Kuramoto Model with a Bimodal Frequency Distribution,Erik A. Martens, Ernest Barreto, Steven H. Strogatz, Edward Ott, Paul So, and Thomas M. Antonsen
Physical Review E 79, 026204 (2009). Journal link PDF
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 Jr., Ernest Barreto, and Steven J. Schiff
Journal of Computational Neuroscience 26, 171-183 (2009). Journal link
The
Influence of Sodium and Potassium Dynamics on Excitability,
Seizures,
and the Stability of Persistent States: I. Single Neuron Dynamics,John R. Cressman Jr., Ghanim Ullah, Jokubas Ziburkus, Steven J. Schiff, and Ernest Barreto
Journal of Computational Neuroscience 26, 159-170 (2009). Journal link; Erratum 30, 781 (2011).
Synchronization
in Interacting Populations of Heterogeneous Oscillators with
Time-Varying Coupling,Paul So, Bernard C. Cotton, and Ernest Barreto
Chaos 18, 037114 (2008). Journal link PDF
Synchronization
in Networks of Networks: The Onset of Coherent
Collective Behavior in Interacting Populations of Heterogeneous
Oscillators,Ernest Barreto, Brian Hunt, Edward Ott, and Paul So
Physical Review E, Vol. 77, 036107 (2008). Journal link PDF
Interneuron
and Pyramidal Cell Interplay During In
Vitro
Seizure-like Events,Jokubas Ziburkus, John R. Cressman, Ernest Barreto, and Steven J. Schiff
Journal of Neurophysiology, Vol. 95, pp. 3948-3954 (2006). Journal link
Dynamics
of Noninvertibility in Delay Equations,Evelyn Sander, Ernest Barreto, S. Schiff, and P. So
Discrete and Continuous Dynamical Systems, Supplementary Volume, pp. 768-777 (August 2005). Journal link PDF
A
Model of the Effects of Applied Electric Fields on Neuronal
Synchronization,Eun-Hyoung Park, Ernest Barreto, Bruce J. Gluckman, Steven J. Schiff, and Paul So
Journal of Computational Neuroscience, Vol. 19 #1, pp. 53-70 (2005). Journal link
Topology
of Windows in the High-Dimensional Parameter Space of Chaotic
Maps,Murilo S. Baptista, Celso Grebogi, and Ernest Barreto
International Journal of Bifurcation and Chaos, Vol. 13 #9, pp. 2681-2688 (2003). Journal link
Electric
Field Modulation of Synchronization in Neural Networks,Eun-Hyoung Park, Paul So, Ernest Barreto, Bruce J. Gluckman, and Steven J. Schiff
Neurocomputing 52-54, pp. 169-175 (2003). Journal link
The
Geometry of Chaos Synchronization,Ernest Barreto, Kresimir Josic, Carlos J. Morales, Evelyn Sander, and Paul So
Chaos 13 #1, pp. 151-164 (2003). Journal link PDF
The
Onset of Synchronization in Systems of Globally Coupled Chaotic and
Periodic Oscillators,Edward Ott, Paul So, Ernest Barreto, and Thomas Antonsen
Physica D Vol. 173, pp. 29-51 (1 December 2002). Journal link
Limits
to the Experimental Detection of Nonlinear Synchrony,Paul So, Ernest Barreto, Kresimir Josic, Evelyn Sander, and Steven J. Schiff
Physical Review E, Vol. 65, 046225 (2002). Journal link PDF
The
Breakdown of Synchronization in Systems of Non-identical Chaotic
Oscillators: Theory and Experiment,Jennifer Chubb, Ernest Barreto, Paul So, and Bruce J. Gluckman
International Journal of Bifurcation and Chaos, Vol. 11 #10, pp. 2705-2713 (2001). Journal link
Mechanisms
for the Development of Unstable Dimension Variability
and the Breakdown of Shadowing in Coupled Chaotic Systems,Ernest Barreto and Paul So
Physical Review Letters 85 #12, pp. 2490-2493 (18 September 2000). Journal link PDF
From
Generalized Synchrony to Topological Decoherence: Emergent Sets
in Coupled Chaotic Systems,Ernest Barreto, Paul So, Bruce J. Gluckman, and Steven J. Schiff
Physical Review Letters 84 #8, pp. 1689-1692 (21 February 2000). Journal link PDF
Box-Counting
Dimension Without Boxes: Computing D_0 from Average
Expansion Rates,Paul So, Ernest Barreto and Brian R. Hunt
Physical Review E 60 #1, pp. 378-385 (July 1999). Journal link PDF
From
High Dimensional Chaos to Stable Periodic Orbits: The Structure
of Parameter Space,Ernest Barreto, Brian R. Hunt, Celso Grebogi, and James A. Yorke
Physical Review Letters 78 #24, pp. 4561-4564 (16 June 1997). Journal link PDF
Multiparameter
Control of Chaos,Ernest Barreto and Celso Grebogi
Physical Review E 52 #4, pp. 3553-3557 (October 1995). Journal link PDF
Efficient
Switching Between
Controlled Unstable Periodic Orbits in Higher Dimensional Chaotic
Systems,Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, and James A. Yorke
Physical Review E 51 #5, pp. 4169-4172 (May 1995). Journal link PDF
