17 citations · 34 across the 5 of their papers we have counts for
3 papers · 1 filter
Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
Mathieu Desroches, Piotr Kowalczyk, Serafim Rodrigues
We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and…
Towards a new classification of bursting patterns: review & extensions
Mathieu Desroches, John Rinzel, Serafim Rodrigues
The mathematical classification of complex bursting oscillations in multiscale excitable systems, seen for example in physics and neuroscience, has been the subject of active enqui…
Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems
Mathieu Desroches, Antoni Guillamon, Enrique Ponce +3
Canard-induced phenomena have been extensively studied in the last three decades, both from the mathematical and from the application viewpoints. Canards in slow-fast systems with…