14 citations · 17 across the 4 of their papers we have counts for
4 papers
Dynamic tipping and cyclic folds, in a one-dimensional non-smooth dynamical system linked to climate models
Chris Budd, Rachel Kuske
We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related c…
Stochastic averaging of dynamical systems with multiple time scales forced with α-stable noise
William F. Thompson, Rachel A. Kuske, Adam H. Monahan
Stochastic averaging allows for the reduction of the dimension and complexity of stochastic dynamical systems with multiple time scales, replacing fast variables with statistically…
Stochastic Perturbations of Periodic Orbits with Sliding
David J. W. Simpson, Rachel Kuske
Vector fields that are discontinuous on codimension-one surfaces are known as Filippov systems and can have attracting periodic orbits involving segments that are contained on a di…
Stochastically Perturbed Sliding Motion in Piecewise-Smooth Systems
David J. W. Simpson, Rachel Kuske
Sliding motion is evolution on a switching manifold of a discontinuous, piecewise-smooth system of ordinary differential equations. In this paper we quantitatively study the effect…