58 citations · 152 across the 5 of their papers we have counts for
3 papers · 1 filter
Spatio-temporal canards in neural field equations
Daniele Avitabile, Mathieu Desroches, Edgar Knobloch
Canards are special solutions to ordinary differential equations that follow invariant repelling slow manifolds for long time intervals. In realistic biophysical single cell models…
Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system
Daniele Avitabile, Mathieu Desroches, Edgar Knobloch +1
A subcritical pattern-forming system with nonlinear advection in a bounded domain is recast as a slow-fast system in space and studied using a combination of geometric singular per…
Generation of finite wave trains in excitable media
Arik Yochelis, Edgar Knobloch, Yuanfang Xie +2
Spatiotemporal control of excitable media is of paramount importance in the development of new applications, ranging from biology to physics. To this end we identify and describe a…