59 citations · 222 across the 21 of their papers we have counts for
3 papers · 1 filter
Canonical models for torus canards in elliptic bursters
Emre Baspinar, Daniele Avitabile, Mathieu Desroches
We revisit elliptic bursting dynamics from the viewpoint of torus canard solutions. We show that at the transition to and from elliptic burstings, classical or mixed-type torus can…
Why we should use Topological Data Analysis in Ageing: towards defining the "Topological shape of ageing"
Tamàs Fülöp, Mathieu Desroches, Fernando Antônio Nóbrega Santos +1
Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and d…
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…