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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