2012 - SIAM Fellow For contributions to applied dynamical systems and mathematical biology, in particular the theory of coupled oscillators and neural pattern formation.
1984 - Fellow of Alfred P. Sloan Foundation
G. Bard Ermentrout mostly deals with Neuroscience, Synchronization, Excitatory postsynaptic potential, Nerve net and Mathematical analysis. His Neuroscience study combines topics from a wide range of disciplines, such as Bursting oscillations and Rhythm. His Synchronization research includes themes of Phase and Statistical physics.
His Excitatory postsynaptic potential study integrates concerns from other disciplines, such as Stimulus, Excitation, Prefrontal cortex and Critical value. His research in Nerve net intersects with topics in Artificial neural network, Biological system, Neural Inhibition and Neuron. His research integrates issues of Monotone polygon, Pulse and Stability in his study of Mathematical analysis.
Neuroscience, Statistical physics, Mathematical analysis, Synchronization and Control theory are his primary areas of study. His research investigates the connection between Neuroscience and topics such as Artificial neural network that intersect with issues in Topology. G. Bard Ermentrout has researched Statistical physics in several fields, including Phase, Stochastic process, Fokker–Planck equation, Mean field theory and Limit.
While the research belongs to areas of Phase, G. Bard Ermentrout spends his time largely on the problem of Limit cycle, intersecting his research to questions surrounding Amplitude. The various areas that he examines in his Mathematical analysis study include Hopf bifurcation, Bifurcation, Scalar and Stability. The Stimulus study combines topics in areas such as Traveling wave, Biological system and Visual cortex.
His main research concerns Neuroscience, Statistical physics, Mathematical analysis, Synchronization and Inhibitory postsynaptic potential. His studies deal with areas such as Traveling wave and Cognitive science as well as Neuroscience. His Statistical physics research is multidisciplinary, incorporating perspectives in Phase, Bifurcation theory, Control theory, Ordinary differential equation and Ansatz.
His Mathematical analysis study integrates concerns from other disciplines, such as Reduction and Scalar. His Excitatory postsynaptic potential study in the realm of Inhibitory postsynaptic potential connects with subjects such as Gamma wave. His research in Excitatory postsynaptic potential focuses on subjects like Theta model, which are connected to Biological system.
Reduction, Phase, Limit cycle, Mathematical analysis and Control theory are his primary areas of study. G. Bard Ermentrout has included themes like Closed set, Neuron, Optimal control and Rhythm in his Reduction study. His studies examine the connections between Phase and genetics, as well as such issues in Statistical physics, with regards to Coupling, Conductance, Order and Stimulus.
G. Bard Ermentrout brings together Mathematical analysis and Continuation to produce work in his papers. His Control theory research is multidisciplinary, incorporating elements of Lateral inhibition, Product rule, Hebbian theory and Learning rule. His Motor coordination research is included under the broader classification of Neuroscience.
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Simulating, analyzing, and animating dynamical systems : a guide to XPPAUT for researchers and students
Analysis of neural excitability and oscillations
John Rinzel;G. Bard Ermentrout.
Methods in neuronal modeling (1989)
Mathematical foundations of neuroscience
G. Bard Ermentrout;David H. Terman.
Published in <b>2010</b> in New York NY) by Springer (2010)
Type i membranes, phase resetting curves, and synchrony
Neural Computation (1996)
Simulation of networks of spiking neurons: A review of tools and strategies
Romain Brette;Michelle Rudolph;Ted Carnevale;Michael L. Hines.
Journal of Computational Neuroscience (2007)
When inhibition not excitation synchronizes neural firing.
Carl Van Vreeswijk;L. F. Abbott;G. Bard Ermentrout.
Journal of Computational Neuroscience (1994)
Traveling Electrical Waves in Cortex: Insights from Phase Dynamics and Speculation on a Computational Role
G.Bard Ermentrout;David Kleinfeld.
Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks
Nancy Kopell;Bard Ermentrout.
Proceedings of the National Academy of Sciences of the United States of America (2004)
Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
David J. Pinto;G. Bard Ermentrout.
Siam Journal on Applied Mathematics (2001)
Existence and uniqueness of travelling waves for a neural network
G. Bard Ermentrout;J. Bryce McLeod.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1993)
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