43 citations · 150 across the 14 of their papers we have counts for
Showing 2010Show all
2 papers · 1 filter
math.DS2010★ 43 cited
Mixed-Mode Oscillations in a Stochastic, Piecewise-Linear System
David J. W. Simpson, Rachel Kuske
We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small n…
nlin.AO2010★ 21 cited
Characterizing mixed mode oscillations shaped by noise and bifurcation structure
Peter Borowski, Rachel Kuske, Yue-Xian Li +1
Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various m…