74 citations · 169 across the 11 of their papers we have counts for
6 papers · 1 filter
Extreme sensitivity and climate tipping points
Peter Ashwin, Anna S. von der Heydt
A climate state close to a tipping point will have a degenerate linear response to perturbations, which can be associated with extreme values of the equilibrium climate sensitivity…
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…
Noisy network attractor models for transitions between EEG microstates
Jennifer Creaser, Peter Ashwin, Claire Postlethwaite +1
The brain is intrinsically organized into large-scale networks that constantly re-organize on multiple timescales, even when the brain is at rest. The timing of these dynamics is c…
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…
Basin bifurcations, oscillatory instability and rate-induced thresholds for AMOC in a global oceanic box model
Hassan Alkhayuon, Peter Ashwin, Laura C Jackson +2
The Atlantic Meridional Overturning Circulation (AMOC) transports substantial amounts of heat into the North Atlantic sector, and hence is of very high importance in regional clima…
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…