Recent Preprints and Reprints


Macroscopic complexity from an autonomous network of networks of theta neurons
Froniter in Computational Neuroscience 8:145 DOI: 10.3389/fncom.2014.00145 (2014).
Tanushree B. Luke, Ernest Barreto, and Paul So
Control of Collective Network Chaos
Chaos to appear (2014).
Alexandre Wagemakers, Ernest Barreto, Miguel A. F. Sanju´an, and Paul So
Networks of theta neurons with time-varying excitability: Macroscopic chaos, multistability, and final-state uncertainty
Physica D (2013). DOI: 10.1016/j.physd.2013.04.009
Paul So, Tanushree B. Luke, and Ernest Barreto
Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
Neural Computation 25 3207–3234 (2013). DOI:10.1162/NECO_a_00525
Tanushree B. Luke, Ernest Barreto, Paul So
Generating Macroscopic Chaos in a Network of Globally Coupled Phase Oscillators
CHAOS 21, 033127 (2011)
Paul So and Ernest Barreto
Ion Concentration Dynamics as a Mechanism for Neuronal Bursting
Journal of Biological Physics 37, 361-373 (2011)
Ernest Barreto and John R. Cressman
Synchronized Changes to Relative Neuron Populations in Postnatal Human Neocortical Development
Cognitive Neurodynamics 44, 151-163 (2010)
David L. Cooper, James E. Gentle, Ernest Barreto, and James L. Olds
The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: I. Single Neuron Dynamics
Journal of Computational Neuroscience 26 159-170 (2009)
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: II. Network and Glial Dynamics
Journal of Computational Neuroscience 26 171-183 (2009)
Ghanim Ullah, John R. Cressman Jr., Jokubas Ziburkus, Steven J. Schiff, and Ernest Barreto
Noninvertibility
Scholarpedia 4(8):2242 (2009)
Evelyn Sander, Paul So, Ernest Barreto
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
Physical Review E 79, 026204 (2009)
E.A. Martens, E Barreto, S.H. Strogatz, E. Ott, P. So, and T.M. Antonsen
Synchronization in Interacting Populations of Heterogeneous Oscillators with Time-Varying Coupling
Chaos 18 037114 (2008)
Paul So, Bernard C. Cotton, and Ernest Barreto
Synchronization in Networks of Networks: The Onset of Coherent Collective Behavior in Systems of Interacting Populations of Heterogeneous Oscillators
Physical Review E 77 036107 (2008)
Ernest Barreto, Brian Hunt, Edward Ott, and Paul So
Unstable periodic orbits
Scholarpedia 2(2):1353 (2007)
Paul So
Interneuron and Pyramidal Cell Interplay During In Vitro Seizure-like Events
Journal of Neurophysiology 95 3948-3954 (2006)
Jokubas Ziburkus, John R. Cressman, Ernest Barreto, and Steven J. Schiff
Neuronal Spatiotemporal Pattern Discrimination: The Dynamical Evolution of Seizures
NeuroImage 28 1043-1055 (2005)
Steven J. Schiff, Tim Sauer, Rohit Kumar, and Steven L. Weinstein
Dangerous Phase
Neuroinformatics - Commentary3 315-317 (2005)
Steven J. Schiff
A Model of the Effects of Applied Electric Fields on Neuronal Synchronization
The Journal of Computational Neuroscience 19 53-70 (2005)
Eun-Hyoung Park, Ernest Barreto, Bruce J. Gluckman, Steven J. Schiff, and Paul So
Dynamics of Noninvertibility in Delay Equations
Discrete and Continuous Dynamical Systems Supplement Volume 768-777 (2005)
Evelyn Sander, Ernest Barreto, Steven Schiff, and Paul So
Multivariate Linear Discrimination of Seizures
Clinical Neurophysiology 116 545-551 (2005)
Jerger, KK, Weinstein, SL, Sauer, T, and Schiff, SJ
Control of Traveling Waves in Mammalian Cortex
Physical Review Letters 94 028103 (2005)
Kristen A. Richardson, Steven J. Schiff, and Bruce J. Gluckman
Sprial Waves in Disinhibited Mammalian Neocortex
The Journal of Neuroscience 24 9897-9902 (2004)
Xiaoying Huang, William C. Troy, Qian Yang, Hongtao Ma, Carlo R. Laing, Steven J. Schiff, and Jian-Young Wu
Analytical Coupling Detection in the Presence of Noise and Nonlinearity
Physical Review E 69 017201 (2004)
Theoden I. Netoff, Louis M. Pecora and Steven J. Schiff
Interplay of EEG phase and auditory evoked neural activity
Journal of Neuroscience 23: 10122-10127 (2003)
Kruglikov, SY and Schiff, SJ
In Vivo Modulation of Hippocampal Epilepiform Activity with Radial Electric Fields
Epilepsia 44 768-777 (2003)
Kristen A. Richardson, Bruce J. Gluckman, Steven L. Weinstein, Caryn E. Glosch, Jessica B. Moon, Ryder P. Gwinn, Karen Gale, and Steven J. Schiff
Sensitivity of Neurons to Weak Electric Fields
Journal of Neuroscience 23 7255-721 (2003)
Joseph T. Francis, Bruce J. Gluckman, and Steven J. Schiff
Electric Field Modulation of Synchronization in Neuronal Networks
Neurocomputing 52-54 169-175 (2003)
Eun-Hyoung Park, Paul So, Ernest Barreto, Bruce J. Gluckman, and Steven J. Schiff
Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units
A. Pikovsky and Y. Maistrenko (eds.) Synchornization: Theory and Application 175-186 (2003)
Edward Ott, Paul So, Ernest Barreto, and Thomas Antonsen
Pattern Formation in a Nonlinear Model for Animal Coats
Journal of Differential Equations 191 143-174 (2003)
Evelyn Sander and Thomas Wanner
The Geometry of Chaos Synchronization
Chaos 13 151 (2003)
Ernest Barreto, Kresimir Josic, Carlos J. Morales, Evelyn Sander, and Paul So
Failure of Single-Unit Neuronal Activity to Differentiate Globus Pallidus internus and externus in Parkinson Disease
The Journal of Neurosurgery 97 119 (2002)
Steven J. Schiff, M.D., Ph.D., Brian K. Dunagan, and Robert M. Worth, M.D., Ph.D.
Decreased Neuronal Synchronization during Experimental Seizures
The Journal of Neuroscience 22 7297 (2002)
Theoden I. Netoff and Steven J. Schiff
The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators
Physica D 173 29-51 (2002)
Edward Ott, Paul So, Ernest Barreto, and Thomas Antonsen
Limits to the Experimental Detection of Nonlinear Synchrony
Phys. Rev. E, 65 046225 (2002)
Paul So, Ernest Barreto, Kresimir Josic, Evelyn Sander, and Steven J. Schiff
Explosions: Global Bifurcations at Heteroclinic Tangencies
Ergodic Theory and Dynamical Systems 22 953-972 (2002)
K. Alligood, E. Sander, and J. Yorke
Adaptive Electric Field Control of Epileptic Seizures
Journal of Neuroscience, 21 (2), 590-600 (2001)
Bruce J. Gluckman, Hanh Nguyen, Steven L. Weinstein, and Steven J. Schiff
The Breakdown of Synchronization in Systems of Non-identical Chaotic Oscillators: Theory and Experiment
Int. J. of Bifurcation and Chaos, 11 2705-2713 (2001)
Jennifer Chubb, Ernest Barreto, Paul So, and Bruce J. Gluckman
The Breakdown of Synchronization and Shadowing in Coupled Chaotic Systems: Analysis via the Subsystem Decomposition
Space Time Chaos: Characterization, Control, and Synchronization (Pamplona, Spain, 19-23 June 2000),
S. Boccaletti et al., editors, World Scientific, March 2001.
Ernest Barreto and Paul So
Brain Chirps: Spectrographic Signatures of Epileptic Seizures
Clinical Neurophysiology 111 953 (2000)
Steven J. Schiff, David Colella, Gary M. Jacyna, Elizabeth Jughes, Joseph W. Creekmore, Angela Marshall, Maribeth Bozek-Kuzmicki, George Benke, William D. Gaillard, Joan Conry, and Steven R. Weinstein
Differentiability Implies Continuity in Neuronal Dynamics
Physica D, 148, 175-181 (2000).
Joseph T. Francis, Paul So, Bruce Gluckman, and Steven Schiff
Mechanism for the Development of Unstable Dimension Variability and the Breakdown of Shadowing in Coupled Chaotic Systems
Phys. Rev. Letts, 85 2490 (2000).
Ernest Barreto and Paul So
From Generalized Synchrony to Topological Decherence: Emergent Sets in Coupled Chaotic Systems
Phys. Rev. Letts., 84, 1689 (2000).
Ernest Barreto, Paul So, Bruce Gluckman, and Steven Schiff
Box-Counting Dimension without Boxes: Calculating D_0 from Average Expansion Rates
Phys. Rev. E, 60, 378 (1999).
Paul So, Ernest Barreto, and Brian Hunt
Periodic Orbits: A New Language for Neuronal Dynamics (Chinese Translation)
Advanced in Mechanics 29, 121 (1999).
Translated by: Yang Qian
[Translated from: Paul So, Joseph T. Francis, Theoden I. Netoff, Bruce J. Gluckman, and Steven J. Schiff, "Periodic Orbits: A New Language for Neuronal Dynamics," Biophys. J. 74,2776-2785 (1998)]
Forecasting Brain Storms
Nature Medicine, News and Views, 4, 1117 (1998).
Steven J. Schiff
Stochastic Resonance in Mammalian Neuronal Networks
Chaos 8, no.3, 588-598 (1998).
Bruce J. Gluckman, Paul So, Theoden I. Netoff, Mark L. Spano, and Steven J. Schiff
Periodic Orbits: A New Language for Neuronal Dynamics
Biophysical Journal 74, 2776-2785 (1998).
Paul So, Joseph T. Francis, Theoden I. Netoff, Bruce J. Gluckman, and Steven J. Schiff