74 citations · 169 across the 11 of their papers we have counts for
Showing 2019 · math.DSShow all
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math.DS2019
State-dependent effective interactions in oscillator networks through coupling functions with dead zones
Peter Ashwin, Christian Bick, Camille Poignard
The dynamics of networks of interacting dynamical systems depend on the nature of the coupling between individual units. We explore networks of oscillatory units with coupling func…
math.DS2019
Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems
Karl Nyman, Peter Ashwin, Peter Ditlevsen
Fast-slow dynamical systems have subsystems that evolve on vastly different timescales, and bifurcations in such systems can arise due to changes in any or all subsystems. We class…
math.DS2019
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A. Pérez-Cervera, P. Ashwin, G. Huguet +2
We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter uncouples the system at . Using a normal form…