4 papers
Early warnings of critical transitions through vector autoregression: lessons from multiscale systems
Bryony Hobden, Paul Ritchie, Peter Ashwin
In a nonautonomous nonlinear dynamical system, generic critical transitions (tipping points) are not limited to slow passage through fold bifurcations. They can also correspond to…
The effect of timescale separation on the tipping window for chaotically forced systems
Raphael Römer, Peter Ashwin
Tipping behavior can occur when an equilibrium of a dynamical system loses stability in response to a slowly varying parameter crossing a bifurcation threshold, or where noise driv…
Chaotic variability in a model of coupled ice streams
Kolja Kypke, Peter Ashwin, Peter Ditlevsen
Regions of fast-flowing ice in ice sheets, known as ice streams, have been theorized to be able to exhibit build-up/surge oscillatory variability due to thermomechanical coupling a…
Attracting measures
Julian Newman, Peter Ashwin
Under mild assumptions, the SRB measure associated to an Axiom A attractor has the following properties: (i) the empirical measure starting at a typical point near con…