77 citations · 436 across the 16 of their papers we have counts for
6 papers · 1 filter
XPPLORE: Import, visualize, and analyze XPPAUT data in MATLAB
Matteo Martin, Anna Kishida Thomas, George Bard Ermentrout
The analysis of ordinary differential equation (ODE) dynamical systems, particularly in applied disciplines such as mathematical biology and neuroscience, often requires flexible c…
Synchronization of Oscillators via Active Media
Derek Orr, Bard Ermentrout
In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells…
Weakly Coupled Oscillators in a Slowly Varying World
Youngmin Park, Bard Ermentrout
We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximati…
Phase-locked Patterns of the Kuramoto Model on 3-Regular Graphs
Lee DeVille, Bard Ermentrout
We consider the existence of non-synchronized fixed points to the Kuramoto model defined on sparse networks: specifically, networks where each vertex has degree exactly three. We s…
Correlation transfer in stochastically driven oscillators over long and short time scales
Aushra Abouzeid, Bard Ermentrout
In the absence of synaptic coupling, two or more neural oscillators may become synchronized by virtue of the statistical correlations in their noisy input streams. Recent work has…
The type II phase resetting curve is optimal for stochastic synchrony
Aushra Abouzeid, Bard Ermentrout
The phase-resetting curve (PRC) describes the response of a neural oscillator to small perturbations in membrane potential. Its usefulness for predicting the dynamics of weakly cou…