Bard Ermentrout

According to our database1, Bard Ermentrout authored at least 91 papers between 1989 and 2019.

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Bibliography

2019
Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators.
SIAM Review, 2019

2018
An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators.
SIAM J. Applied Dynamical Systems, 2018

Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation.
SIAM J. Applied Dynamical Systems, 2018

Information-theoretic analysis of realistic odor plumes: What cues are useful for determining location?
PLoS Computational Biology, 2018

2017
Traveling Pulses in a Nonlocal Equation Arising Near a Saddle-Node Infinite Cycle Bifurcation.
SIAM Journal of Applied Mathematics, 2017

Optogenetic Stimulation Shifts the Excitability of Cerebral Cortex from Type I to Type II: Oscillation Onset and Wave Propagation.
PLoS Computational Biology, 2017

2016
Heterogeneity and Oscillations in Small Swarms.
SIAM J. Applied Dynamical Systems, 2016

Weakly coupled oscillators in a slowly varying world.
Journal of Computational Neuroscience, 2016

2015
Waves and Patterns on Regular Graphs.
SIAM J. Applied Dynamical Systems, 2015

Bifurcations in the Wilson-Cowan Equations with Nonsmooth Firing Rate.
SIAM J. Applied Dynamical Systems, 2015

Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics.
Journal of Computational Neuroscience, 2015

The rhythms of steady posture: Motor commands as spatially organized oscillation patterns.
Neurocomputing, 2015

Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity.
Biological Cybernetics, 2015

Propagating Waves as a Cortical Mechanism of Direction-Selectivity in V1 Motion Cells.
Proceedings of the BICT 2015, 2015

2014
Flicker-Induced Phosphenes.
Proceedings of the Encyclopedia of Computational Neuroscience, 2014

Phase Models, Noisy.
Proceedings of the Encyclopedia of Computational Neuroscience, 2014

Computational study of NMDA conductance and cortical oscillations in schizophrenia.
Front. Comput. Neurosci., 2014

2013
Wandering Bumps in Stochastic Neural Fields.
SIAM J. Applied Dynamical Systems, 2013

Stimulus features, resetting curves, and the dependence on adaptation.
Journal of Computational Neuroscience, 2013

Impact of neuronal heterogeneity on correlated colored noise-induced synchronization.
Front. Comput. Neurosci., 2013

2012
Pattern Formation in a Model of Acute Inflammation.
SIAM J. Applied Dynamical Systems, 2012

Bifurcations of Stationary Solutions in an Interacting Pair of E-I Neural Fields.
SIAM J. Applied Dynamical Systems, 2012

Modeling neuropathologies as disruption of normal sequence generation in working memory networks.
Neural Networks, 2012

The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation.
Neural Computation, 2012

A model for complex sequence learning and reproduction in neural populations.
Journal of Computational Neuroscience, 2012

Hallucinogen persisting perception disorder in neuronal networks with adaptation.
Journal of Computational Neuroscience, 2012

2011
A Model for the Origin and Properties of Flicker-Induced Geometric Phosphenes.
PLoS Computational Biology, 2011

Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks.
PLoS Computational Biology, 2011

Finite-size and correlation-induced effects in mean-field dynamics.
Journal of Computational Neuroscience, 2011

Phase-resetting curve determines how BK currents affect neuronal firing.
Journal of Computational Neuroscience, 2011

The variance of phase-resetting curves.
Journal of Computational Neuroscience, 2011

The mechanisms for compression and reflection of cortical waves.
Biological Cybernetics, 2011

2010
Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function.
SIAM Journal of Applied Mathematics, 2010

Analysis of Recurrent Networks of Pulse-Coupled Noisy Neural Oscillators.
SIAM J. Applied Dynamical Systems, 2010

Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps.
SIAM J. Applied Dynamical Systems, 2010

Amplification of Asynchronous Inhibition-Mediated Synchronization by Feedback in Recurrent Networks.
PLoS Computational Biology, 2010

2009
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model.
SIAM J. Applied Dynamical Systems, 2009

Subbarrel Patterns in Somatosensory Cortical Barrels Can Emerge from Local Dynamic Instabilities.
PLoS Computational Biology, 2009

Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli.
Journal of Computational Neuroscience, 2009

2008
Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators.
SIAM J. Applied Dynamical Systems, 2008

Phase model.
Scholarpedia, 2008

Ermentrout-Kopell canonical model.
Scholarpedia, 2008

Oscillation death.
Scholarpedia, 2008

2007
Pattern Formation in an Array of Oscillators with Electrical and Chemical Coupling.
SIAM Journal of Applied Mathematics, 2007

XPPAUT.
Scholarpedia, 2007

Simulation of networks of spiking neurons: A review of tools and strategies.
Journal of Computational Neuroscience, 2007

Reliability and stochastic synchronization in type I vs. type II neural oscillators.
Neurocomputing, 2007

2006
Phase Boundaries as Electrically Induced Phosphenes.
SIAM J. Applied Dynamical Systems, 2006

Phase resetting and coupling of noisy neural oscillators.
Journal of Computational Neuroscience, 2006

Predicting synchronized neural assemblies from experimentally estimated phase-resetting curves.
Neurocomputing, 2006

2005
On the human sensorimotor-cortex beta rhythm: Sources and modeling.
NeuroImage, 2005

2004
Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies.
SIAM Journal of Applied Mathematics, 2004

Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation.
SIAM J. Applied Dynamical Systems, 2004

Model of the Early Development of Thalamo-Cortical Connections and Area Patterning via Signaling Molecules.
Journal of Computational Neuroscience, 2004

Model for Transition from Waves to Synchrony in the Olfactory Lobe of Limax.
Journal of Computational Neuroscience, 2004

2003
Nonlinear Coupling near a Degenerate Hopf (Bautin) Bifurcation.
SIAM Journal of Applied Mathematics, 2003

Dynamical Consequences of Fast-Rising, Slow-Decaying Synapses in Neuronal Networks.
Neural Computation, 2003

Spike Generating Dynamics and the Conditions for Spike-Time Precision in Cortical Neurons.
Journal of Computational Neuroscience, 2003

Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity.
Neurocomputing, 2003

Speed-up methods for simulations of traveling waves in integrate-and-fire neural networks.
Neurocomputing, 2003

2002
Multiple Bumps in a Neuronal Model of Working Memory.
SIAM Journal of Applied Mathematics, 2002

Regular Traveling Waves in a One-Dimensional Network of Theta Neurons.
SIAM Journal of Applied Mathematics, 2002

Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model.
Neurocomputing, 2002

Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students.
Software, environments, tools 14, SIAM, ISBN: 978-0-89871-506-4, 2002

2001
Propagating Activity Patterns in Thalamic Neuronal Networks.
SIAM Journal of Applied Mathematics, 2001

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses.
SIAM Journal of Applied Mathematics, 2001

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses.
SIAM Journal of Applied Mathematics, 2001

The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators.
Neural Computation, 2001

Turning On and Off with Excitation: The Role of Spike-Timing Asynchrony and Synchrony in Sustained Neural Activity.
Journal of Computational Neuroscience, 2001

Two dimensional synaptically generated traveling waves in a theta-neuron neural network.
Neurocomputing, 2001

2000
A Model of Ocular Dominance Column Development by Competition for Trophic Factor: Effects of Excess Trophic Factor with Monocular Deprivation and Effects of Antagonist of Trophic Factor.
Journal of Computational Neuroscience, 2000

Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex.
Neurocomputing, 2000

1999
Effects of dopaminergic modulation of persistent sodium currents on the excitability of prefrontal cortical neurons: A computational study.
Neurocomputing, 1999

1998
Dynamics of Membrane Excitability Determine Inter-Spike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics.
Neural Computation, 1998

Linearization of F-I Curves by Adaptation.
Neural Computation, 1998

Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillator.
Neural Computation, 1998

The Analysis of Synaptically Generated Traveling Waves.
Journal of Computational Neuroscience, 1998

Dendritic and Synaptic Effects in Systems of Coupled Cortical Oscillators.
Journal of Computational Neuroscience, 1998

Wave Propagation Mediated by GABAB Synapse and Rebound Excitation in an Inhibitory Network: A Reduced Model Approach.
Journal of Computational Neuroscience, 1998

1997
The Role of Axonal Delay in the Synchronization of Networks of Coupled Cortical Oscillators.
Journal of Computational Neuroscience, 1997

1996
Reflected Waves in an Inhomogeneous Excitable Medium.
SIAM Journal of Applied Mathematics, 1996

Type I Membranes, Phase Resetting Curves, and Synchrony.
Neural Computation, 1996

A quantitative population model of whisker barrels: Re-examining the Wilson-Cowan equations.
Journal of Computational Neuroscience, 1996

1994
The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System.
SIAM Journal of Applied Mathematics, 1994

Stable Rotating Waves in Two-Dimensional Discrete Active Media.
SIAM Journal of Applied Mathematics, 1994

Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators.
SIAM Journal of Applied Mathematics, 1994

Learning of Phase Lags in Coupled Neural Oscillators.
Neural Computation, 1994

Reduction of Conductance-Based Models with Slow Synapses to Neural Nets.
Neural Computation, 1994

When inhibition not excitation synchronizes neural firing.
Journal of Computational Neuroscience, 1994

1992
Complex dynamics in winner-take-all neural nets with slow inhibition.
Neural Networks, 1992

1989
Autowave Processes in Kinetic Systems: Spatial and Temporal Self-Organization in Physics, Chemistry, Biology, and Medicine (V. A. Vasiliev, Yu. M. Romanovskii, D. S. Chernavskii, and V. G. Yakhno).
SIAM Review, 1989


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