77 citations · 436 across the 16 of their papers we have counts for
19 papers
Multi-stable oscillations in cortical networks with two classes of inhibition
Arnab Dey Sarkar, Bard Ermentrout
In the classic view of cortical rhythms, the interaction between excitatory pyramidal neurons (E) and inhibitory parvalbumin neurons (I) has been shown to be sufficient to generate…
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…
The Dynamics of Bilateral Olfactory Search and Navigation
Nour Riman, Jonathan D. Victor, Sebastian D. Boie +1
Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of a bilateral model that depends on the simultaneous comparis…
Recent Advances in Coupled Oscillator Theory
Bard Ermentrout, Youngmin Park, Dan Wilson
We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be…
Theta-gamma cross-frequency coupling enables covariance between distant brain regions
Akihiko Akao, Sho Shirasaka, Yasuhiko Jimbo +2
Cross-frequency coupling (CFC) is thought to play an important role in communication across distant brain regions. However, neither the mechanism of its generation nor the influenc…
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…