19 citations · 28 across the 4 of their papers we have counts for
5 papers
Quasipotentials for coupled escape problems and the gate-height bifurcation
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
The escape statistics of a gradient dynamical system perturbed by noise can be estimated using properties of the associated potential landscape. More generally, the Freidlin and We…
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…
Sequential escapes: onset of slow domino regime via a saddle connection
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
We explore sequential escape behaviour of coupled bistable systems under the influence of stochastic perturbations. We consider transient escapes from a marginally stable "quiescen…
Sequential noise-induced escapes for oscillatory network dynamics
Jennifer Creaser, Krasimira Tsaneva-Atanasova, Peter Ashwin
It is well known that the addition of noise in a multistable system can induce random transitions between stable states. The rate of transition can be characterised in terms of the…
Fast and slow domino regimes in transient network dynamics
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between trans…