Papers in Refereed Journals

+ Synchronization in Interacting Populations of Heterogeneous Oscillators with Time-Varying Coupling,
Chaos 18, 037114 (2008).

+ Synchronization in Networks of Networks: The Onset of Coherent Collective Behavior in Interacting Populations of Heterogeneous Oscillators,
Physical Review E, Vol. 77, 036107 (2008).

+ Interneuron and Pyramidal Cell Interplay During In Vitro Seizure-like Events,
Journal of Neurophysiology, Vol. 95, pp. 3948-3954 (2006).

+ Dynamics of Noninvertibility in Delay Equations,
Discrete and Continuous Dynamical Systems, Supplementary Volume, pp. 768-777 (August 2005).

+ A Model of the Effects of Applied Electric Fields on Neuronal Synchronization,
Journal of Computational Neuroscience, Vol. 19 #1, pp. 53-70 (2005).

+Topology of Windows in the High-dimensional Parameter Space of Chaotic Maps,
International Journal of Bifurcation and Chaos, Vol. 13 #9, pp. 2681-2688 (2003).

+Electric Field Modulation of Synchronization in Neural Networks,
Neurocomputing 52-54, pp. 169-175 (2003).

+The Geometry of Chaos Synchronization,
Chaos 13 #1, pp. 151-164 (2003).

+The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators,
Physica D Vol. 173, pp. 29-51 (1 December 2002).

+Limits to the Experimental Detection of Nonlinear Synchrony,
Physical Review E, Vol. 65, 046225 (2002).

+The Breakdown of Synchronization in Systems of Non-identical Chaotic Oscillators: Theory and Experiment,
International Journal of Bifurcation and Chaos, Vol. 11 #10, pp. 2705-2713 (2001).

+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 (18 September 2000).

+From Generalized Synchrony to Topological Decoherence: Emergent Sets in Coupled Chaotic Systems,
Physical Review Letters 84 #8, pp. 1689-1692 (21 February 2000).

+Box-Counting Dimension Without Boxes: Computing D_0 from Average Expansion Rates,
Physical Review E 60 #1, pp. 378-385 (July 1999).

+From High Dimensional Chaos to Stable Periodic Orbits: The Structure of Parameter Space,
Physical Review Letters 78 #24, pp. 4561-4564 (16 June 1997).

+Multiparameter Control of Chaos,
Physical Review E 52 #4, pp. 3553-3557 (October 1995).

+ Efficient Switching Between Controlled Unstable Periodic Orbits in Higher Dimensional Chaotic Systems,
Physical Review E 51 #5, pp. 4169-4172 (May 1995).

Manuscripts

+ Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution.

+ The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: I. Single Neuron Dynamics.

+ The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: II. Network and Glial Dynamics.

Other Publications

+ 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).

+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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