New Abstracts

Recent Publications

Macroscopic Complexity from an Autonomous Network of Networs of Theta Neurons: Froniter in Computational Neuroscience 8:145 DOI: 10.3389/fncom.2014.00145 (2014).; Tanushree Luke, Ernest Barreto, and Paul So

Control of Collective Network Chaos: Chaos 24 023127 (2014).; Alexandre Wagemakers, Ernest Barreto, Miguel A. F. Sanjuan, and Paul So

Networks of Theta Neurons with Time-Varying Excitability: Macroscopic Chaos, Multistability, and Final-State Uncertainty: Physica D 267 16-26 (2014).; 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).; 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

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

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

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

The Geometry of Chaos Synchronization: Chaos 13 151 (2003); Ernest Barreto, Kresimir Josic, Carlos J. Morales, Evelyn Sander, and Paul So

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

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

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)]

Stochastic Resonance in Mammalian Neuronal Networks: Chaos 8 588-598 (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

Extracting Unstable Periodic Orbits from Chaotic Time Series Data: Physical Review E 55 5398 (1997).; Paul So, Edward Ott, Tim Sauer, Bruce J. Gluckman, Celso Grebogi, and Steven J. Schiff

Dectecting Dynamical Interdependence and Generalized Synchrony through Mutual Prediction in a Neural Ensemble: Phys. Rev. E 54 6708 (1996).; Steven J. Schiff, Paul So, Taeun Chang, Robert E. Burke, and Tim Sauer

Spectral Statistics for Quantum Chaos with Ray Splitting: Phys. Letts. A 216 59 (1996).; Paul So and Edward Ott

Detecting Unstable Periodic Orbits in Chaotic Experimental Data: Phys. Rev. Lett. 76 4705 (1996).; Paul So, Edward Ott, Steven J. Schiff, Daniel T. Kaplan, Tim Sauer, and Celso Grebogi

Wave Chaos Experiments with and without Time Reversal Symmetry: GUE and GOE Statistics: Phys. Rev. Letts 74 2662 (1995).; Paul So and Edward Ott

Controlling Chaos using Time Delay Coordinates via Stabilization of Periodic Orbits: Phys. Rev. E 51 2955 (1995).; Paul So and Edward Ott

Observing Chaos: Deducing and Tracking the State of a Chaotic System from Limited Observation: Phys. Rev. E 49 2650 (1994).; Paul So, Edward Ott, and W. P. Dayawansa

Observing Chaos: Deducing and Tracking the State of a Chaotic System from Limited Observation: Physics Letters A 176 421 (1993).; Paul So, Edward Ott, and W. P. Dayawansa