Papers in Refereed Journals

+ 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)

+ 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). Journal link PDF

+ Ion Concentration Dynamics as a Mechanism for Neuronal Bursting,
Ernest Barreto and John R. Cressman
Journal of Biological Physics 37, 361-373 (2011). Journal link Author-generated PDF

+ 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

Other Publications

+ Ernie Barreto, Photos From Bardfest 2014, Dynamical Systems Magazine, April 2014.

+ Ernie Barreto, Photos From Dynamics Days 2012, Dynamical Systems Magazine, January 2012.

+ Towards a Dynamics of Seizure Dynamics,
chapter in Computational Neuroscience in Epilepsy, I. Soltesz and K. Stanley, eds., Academic Press, January 14, 2008.

+ Ernest Barreto (2008) Shadowing. Scholarpedia, 3(1):2243.

+ The Onset of Synchronism in Globally Coupled Ensembles of Chaotic and Periodic Dynamical Units,
in Chaotic Dynamics and Transport in Classical and Quantum Systems
Proceedings of the NATO Advanced Study Institute on Chaotic Dynamics and Transport in Classical and Quantum Systems, Cargese, Corsica, 18-30 August 2003
Series: NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 182,
P. Collet, M. Courbage, S. Mtens, A. Neishtadt, and G. Zalsavsky, eds. Springer, 2005.

+ Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units,
in Synchronization: Theory and Application
Proceedings of the NATO Advanced Study Institute, Yalta Region, Crimea, 20-21 May 2002
Series: NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 109,
A. Pikovsky, Y.L. Maistrenko, eds. Springer, 2003.

+ Cajal and Today's Consciousness Research,
Complexity, Vol. 7 #3, pp. 14-16 (2002). Journal link

+ The Breakdown of Synchronization and Shadowing in Coupled Chaotic Systems: Analysis via Subsystem Decomposition,
in Space Time Chaos: Characterization, Control and Synchronization,
(S. Boccaletti et al., eds.), World Scientific, 2001.

+ Control of Chaos: Impact Oscillators and Targeting,
in IUTAM Symposium on Interaction between Dynamics and Control in Advanced Mechanical Systems,
ed. by D. H. van Campen. Dordrecht, The Netherlands: Kluwer Academic Publishers, 1997, pp. 17-26.

+ Controlling Chaos in Mechanical Systems,
Chapter 11 in Dynamics and Chaos in Manufacturing Processes,
Francis C. Moon, editor. New York: John Wiley & Sons, Inc., 1997.

+ Targeting and Control of Chaos,
in Control and Chaos, edited by K. Judd, A. Mees, K. L. Teo and T. L. Vincent. Boston: Birkhäuser, 1997, pp. 158-169.



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